SOLUTION: S is between r and q. if rs= 44.6 and sq=68.4, find rq

Question 794169: S is between r and q. if rs= 44.6 and sq=68.4, find rq

Found 2 solutions by rfer, DrBeeee:
Answer by rfer(16322) (Show Source): You can put this solution on YOUR website!
44.6+68.4=113
Answer by DrBeeee(684) (Show Source): You can put this solution on YOUR website!
Given:
(1) r < s < q,
(2) r*s = 44.6 and
(3) s*q = 68.4
Solve (2) for r and get
(4) r = 44.6/s
Solve (3) for q and get
(5) q = 68.4/s
Now put (4) and (5) into (1) to get
(6) 44.6/s < s < 68.4/s or
(7) 44.6 < s^2 < 68.4
Now use (4) and (5) to get rq as
(8) r*q = (44.6*68.4)/(s^2)
Using the limits for s^2 given by (7), we get the answer
(9) 44.6 < r*q < 68.4

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