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Finding the Third Proportional to 40,885 and 61,331

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Solution

The third proportional to 40,885 and 61,331 is: 92,001.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,885 : 61,331 = 61,331 : x
  2. Step 2: Convert to fraction form
    40,885/61,331 = 61,331/x
  3. Step 3: Cross multiply
    40,885x = 61,331 × 61,331
  4. Step 4: Simplify right side
    40,885x = 3,761,491,561
  5. Step 5: Solve for x
    x = 3,761,491,561/40,885
  6. Step 6: Final answer
    x = 92,001.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.