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Finding the Third Proportional to 24,509 and 52,474

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Solution

The third proportional to 24,509 and 52,474 is: 112,347.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,509 : 52,474 = 52,474 : x
  2. Step 2: Convert to fraction form
    24,509/52,474 = 52,474/x
  3. Step 3: Cross multiply
    24,509x = 52,474 × 52,474
  4. Step 4: Simplify right side
    24,509x = 2,753,520,676
  5. Step 5: Solve for x
    x = 2,753,520,676/24,509
  6. Step 6: Final answer
    x = 112,347.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.