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Hours which are past midnight are suffixed with next day date. In Panchang day starts and ends with sunrise.

Pradosh Vrat, which is also known as Pradosham in South India, is observed to seek blessings of Lord Shiva.
Pradosh Vrat is observed on both Trayodashi Tithis, i.e. Shukla Paksha Trayodashi and Krishna Paksha Trayodashi, in lunar month. Some people distinguish between Shukla and Krishna Paksha Pradosham.
When Pradosham day falls on Monday it is called Soma Pradosham, on Tuesday it is called Bhauma Pradosham and on Saturday it is called as Shani Pradosham.
For Pradosham Vrat, day is fixed when Trayodashi Tithi falls during Pradosh Kaal which starts after Sunset. The time window after Sunset when Trayodashi Tithi and Pradosh time overlaps is auspicious for Shiva Puja. DrikPanchang.com lists this time for all Pradosham and this time should be preferred for doing Shiva Puja.
It is important to understand that fasting day for Pradosham might differ for two cities even if those cities are within same Indian state. Fasting for Pradosham depends on sunset time and it is observed when Trayodashi Tithi prevails after sunset. Hence Pradosham fasting might be observed on Dwadashi Tithi i.e. one day before Trayodashi Tithi. As Sunset time is different for all cities, it is important to refer Hindu calendar like this website which lists location based Pradosham days. As generating location based dates are time consuming most sources ignore this fact and publish single list for all cities.
Many people observe Ekadashi Vrat as well as Pradosh Vrat. Usually there is a gap of single day between Ekadashi and Pradosh fasting. However, many times they are observed on two consecutive days. Many devotees want to know how to break Ekadashi fast on the next day when Pradosh is getting observed on the same day. It is suggested to do symbolic Ekadashi Parana with only water and continue the Pradosh without actually breaking the fast. Although seems difficult but it is quite normal in Hinduism to fast on two consecutive days.