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Finding the Third Proportional to 40,479 and 62,837

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Solution

The third proportional to 40,479 and 62,837 is: 97,544.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,479 : 62,837 = 62,837 : x
  2. Step 2: Convert to fraction form
    40,479/62,837 = 62,837/x
  3. Step 3: Cross multiply
    40,479x = 62,837 × 62,837
  4. Step 4: Simplify right side
    40,479x = 3,948,488,569
  5. Step 5: Solve for x
    x = 3,948,488,569/40,479
  6. Step 6: Final answer
    x = 97,544.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.