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The ratio of the partial segments in the known segment is 5/6 which is the length of the outside segment divided the inside segment.

This ratio holds for the other line segment.

5/6=3/k Cross multiply to solve for k. (Multiply the numerator of one side with the denominator of the other side of the equation)

5k=18 Divide both sides by 5

k=18/5=3.6 The answer is C.

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