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Finding the Third Proportional to 24,691 and 52,460

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Solution

The third proportional to 24,691 and 52,460 is: 111,459.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,691 : 52,460 = 52,460 : x
  2. Step 2: Convert to fraction form
    24,691/52,460 = 52,460/x
  3. Step 3: Cross multiply
    24,691x = 52,460 × 52,460
  4. Step 4: Simplify right side
    24,691x = 2,752,051,600
  5. Step 5: Solve for x
    x = 2,752,051,600/24,691
  6. Step 6: Final answer
    x = 111,459.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.