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Finding the Third Proportional to 24,815 and 34,711

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Solution

The third proportional to 24,815 and 34,711 is: 48,553.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,815 : 34,711 = 34,711 : x
  2. Step 2: Convert to fraction form
    24,815/34,711 = 34,711/x
  3. Step 3: Cross multiply
    24,815x = 34,711 × 34,711
  4. Step 4: Simplify right side
    24,815x = 1,204,853,521
  5. Step 5: Solve for x
    x = 1,204,853,521/24,815
  6. Step 6: Final answer
    x = 48,553.44

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.