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After Titas Sadhu's career-best figures of 4/17 helped India dismiss Australia for a mere 141, openers Smriti Mandhana (54) and Shafali Verma (64 not out) tore into the visitors with a 137-run stand.
India entered the semifinals by virtue of better ICC rankings after the quarterfinal against Malaysia was abandoned due to rain.
Marizanne Kapp broke the back of Gujarat Giants' innings with a stunning five-wicket haul, while Shafali clobbered 10 fours and five sixes to produce a ruthless 76* as DC completed the chase in 7.1 overs.
Kim Garth bagged a fifer as the UP side scored a three-wicket win over Gujarat Giants.
Shafali, 19, has already established herself in India's senior side and wants to make the visit to South Africa for the Women's T20 WC even more memorable with another silverware.
India notched up an eight-wicket win over New Zealand in the first semifinal.
Once Shafali holed out at mid-wicket boundary, there was a slump as India lost four wickets for the addition of 17 runs in less than three overs as the match turned decisively in favour of the Southern Stars.
Shafali Verma will lead India in the tournament to be held in South Africa next month.
The Indians, who suffered a shock loss to Pakistan on Friday, scored 159/5 before restricting Bangladesh to 100/7.
The openers sharied an unbeaten partnership of 174 to see the visitors home in just 25.4 overs.
Results 11-20 of 26