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Geometric Mean

If x,y,z ar...

Question

If $x, y, z$ are the three G.M's between $6, 54$ then find the value of $z$ .

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Solution

$6 x y z,, 54$

$G . M = \sqrt{6 \times 54} = y$

$y = 18$

$N o w b e t w e e n 18 a n d 54$

$z = G . M . = \sqrt{18 \times 54} = \sqrt{972} = 31.18$

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