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Finding the Third Proportional to 38,736 and 59,618

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Solution

The third proportional to 38,736 and 59,618 is: 91,757.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,736 : 59,618 = 59,618 : x
  2. Step 2: Convert to fraction form
    38,736/59,618 = 59,618/x
  3. Step 3: Cross multiply
    38,736x = 59,618 × 59,618
  4. Step 4: Simplify right side
    38,736x = 3,554,305,924
  5. Step 5: Solve for x
    x = 3,554,305,924/38,736
  6. Step 6: Final answer
    x = 91,757.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.