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Finding the Third Proportional to 24,553.13 and 47,620.13

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Solution

The third proportional to 24,553.13 and 47,620.13 is: 92,357.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,553.13 : 47,620.13 = 47,620.13 : x
  2. Step 2: Convert to fraction form
    24,553.13/47,620.13 = 47,620.13/x
  3. Step 3: Cross multiply
    24,553.13x = 47,620.13 × 47,620.13
  4. Step 4: Simplify right side
    24,553.13x = 2,267,676,305.02
  5. Step 5: Solve for x
    x = 2,267,676,305.02/24,553.13
  6. Step 6: Final answer
    x = 92,357.95

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Why These Related Problems?

These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.