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Finding the Third Proportional to 24,339 and 49,884

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Solution

The third proportional to 24,339 and 49,884 is: 102,239.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,339 : 49,884 = 49,884 : x
  2. Step 2: Convert to fraction form
    24,339/49,884 = 49,884/x
  3. Step 3: Cross multiply
    24,339x = 49,884 × 49,884
  4. Step 4: Simplify right side
    24,339x = 2,488,413,456
  5. Step 5: Solve for x
    x = 2,488,413,456/24,339
  6. Step 6: Final answer
    x = 102,239.76

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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.