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Finding the Third Proportional to 39,472 and 61,349

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Solution

The third proportional to 39,472 and 61,349 is: 95,351.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,472 : 61,349 = 61,349 : x
  2. Step 2: Convert to fraction form
    39,472/61,349 = 61,349/x
  3. Step 3: Cross multiply
    39,472x = 61,349 × 61,349
  4. Step 4: Simplify right side
    39,472x = 3,763,699,801
  5. Step 5: Solve for x
    x = 3,763,699,801/39,472
  6. Step 6: Final answer
    x = 95,351.13

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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.