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Question
Find the mean proportion of: (a – b) and (a³ – a²b), a> b
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Solution
Let x be the mean proportion to
(a – b) and (a³ – a²b), a> b
then (a - b) : x : : x: (a3 – a2b)
x2 = (a – b) (a3 – a2b)
= (a – b) a2 (a – b) = a2 (a – b)2
∴ x = a (a – b)
Hence the mean proportion = a (a – b).
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