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Finding the Third Proportional to 24,349 and 52,398

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Solution

The third proportional to 24,349 and 52,398 is: 112,758.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,349 : 52,398 = 52,398 : x
  2. Step 2: Convert to fraction form
    24,349/52,398 = 52,398/x
  3. Step 3: Cross multiply
    24,349x = 52,398 × 52,398
  4. Step 4: Simplify right side
    24,349x = 2,745,550,404
  5. Step 5: Solve for x
    x = 2,745,550,404/24,349
  6. Step 6: Final answer
    x = 112,758.24

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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.