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Finding the Third Proportional to 39,597 and 82,469

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Solution

The third proportional to 39,597 and 82,469 is: 171,758.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,597 : 82,469 = 82,469 : x
  2. Step 2: Convert to fraction form
    39,597/82,469 = 82,469/x
  3. Step 3: Cross multiply
    39,597x = 82,469 × 82,469
  4. Step 4: Simplify right side
    39,597x = 6,801,135,961
  5. Step 5: Solve for x
    x = 6,801,135,961/39,597
  6. Step 6: Final answer
    x = 171,758.87

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.