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Finding the Third Proportional to 24,338 and 49,882

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Solution

The third proportional to 24,338 and 49,882 is: 102,235.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,338 : 49,882 = 49,882 : x
  2. Step 2: Convert to fraction form
    24,338/49,882 = 49,882/x
  3. Step 3: Cross multiply
    24,338x = 49,882 × 49,882
  4. Step 4: Simplify right side
    24,338x = 2,488,213,924
  5. Step 5: Solve for x
    x = 2,488,213,924/24,338
  6. Step 6: Final answer
    x = 102,235.76

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.