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Finding the Third Proportional to 39,691 and 52,914

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Solution

The third proportional to 39,691 and 52,914 is: 70,542.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,691 : 52,914 = 52,914 : x
  2. Step 2: Convert to fraction form
    39,691/52,914 = 52,914/x
  3. Step 3: Cross multiply
    39,691x = 52,914 × 52,914
  4. Step 4: Simplify right side
    39,691x = 2,799,891,396
  5. Step 5: Solve for x
    x = 2,799,891,396/39,691
  6. Step 6: Final answer
    x = 70,542.22

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.