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Finding the Third Proportional to 39,471 and 62,745

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Solution

The third proportional to 39,471 and 62,745 is: 99,742.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,471 : 62,745 = 62,745 : x
  2. Step 2: Convert to fraction form
    39,471/62,745 = 62,745/x
  3. Step 3: Cross multiply
    39,471x = 62,745 × 62,745
  4. Step 4: Simplify right side
    39,471x = 3,936,935,025
  5. Step 5: Solve for x
    x = 3,936,935,025/39,471
  6. Step 6: Final answer
    x = 99,742.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.