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Finding the Third Proportional to 39,866 and 61,743

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Solution

The third proportional to 39,866 and 61,743 is: 95,625.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,866 : 61,743 = 61,743 : x
  2. Step 2: Convert to fraction form
    39,866/61,743 = 61,743/x
  3. Step 3: Cross multiply
    39,866x = 61,743 × 61,743
  4. Step 4: Simplify right side
    39,866x = 3,812,198,049
  5. Step 5: Solve for x
    x = 3,812,198,049/39,866
  6. Step 6: Final answer
    x = 95,625.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.