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Finding the Third Proportional to 40,469 and 61,267

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Solution

The third proportional to 40,469 and 61,267 is: 92,753.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,469 : 61,267 = 61,267 : x
  2. Step 2: Convert to fraction form
    40,469/61,267 = 61,267/x
  3. Step 3: Cross multiply
    40,469x = 61,267 × 61,267
  4. Step 4: Simplify right side
    40,469x = 3,753,645,289
  5. Step 5: Solve for x
    x = 3,753,645,289/40,469
  6. Step 6: Final answer
    x = 92,753.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.