Tereshchuk, a world champion in 2011, could face further sanctions, including a ban imposed by the sport's governing body.
Anastasiya Prokopenko of Belarus, who finished fourth in Beijing, is next in line for the bronze medal.
More than 100 athletes have so far tested positive in re-tests of samples taken during the London 2012 and Beijing 2008 Olympics.
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(Reporting by Simon Jennings in Bengaluru, editing by Larry King)
