Nathan has a bouncy ball that bounces to 2/3rds of its starting height with each bounce. If he drops it from the third-floor balcony in the mall, where each story is 24 feet high, how high does the ball go on its second bounce?
First find the total height from which Nathan drops the ball: 24 feet/story * 3 stories = <<24*3=72>>72 feet
Then multiply that number by 2/3rds to find the height of the ball after one bounce: 72 feet * 2/3 = <<72*2/3=48>>48 feet
Then multiply that number by 2/3rds to find the height of the ball after two bounces: 48 feet * 2/3 = <<48*2/3=32>>32 feet
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