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Question

If x, y and z are in continued proportion then z:x::z2: ____.

A
x2
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B
y2
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C
y
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D
z3
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Solution

The correct option is B y2
If x, y, and z are in continued proportion then y2=xz
Multiply both sides of the equation by z
Equation becomes, zy2=xz2
zx=z2y2
z:x::z2:y2

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