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Finding the Third Proportional to 24,350 and 52,399

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Solution

The third proportional to 24,350 and 52,399 is: 112,757.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,350 : 52,399 = 52,399 : x
  2. Step 2: Convert to fraction form
    24,350/52,399 = 52,399/x
  3. Step 3: Cross multiply
    24,350x = 52,399 × 52,399
  4. Step 4: Simplify right side
    24,350x = 2,745,655,201
  5. Step 5: Solve for x
    x = 2,745,655,201/24,350
  6. Step 6: Final answer
    x = 112,757.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.