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Finding the Third Proportional to 40,279 and 61,475

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Solution

The third proportional to 40,279 and 61,475 is: 93,824.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,279 : 61,475 = 61,475 : x
  2. Step 2: Convert to fraction form
    40,279/61,475 = 61,475/x
  3. Step 3: Cross multiply
    40,279x = 61,475 × 61,475
  4. Step 4: Simplify right side
    40,279x = 3,779,175,625
  5. Step 5: Solve for x
    x = 3,779,175,625/40,279
  6. Step 6: Final answer
    x = 93,824.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.