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Finding the Third Proportional to 24,376 and 52,884

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Solution

The third proportional to 24,376 and 52,884 is: 114,732.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,376 : 52,884 = 52,884 : x
  2. Step 2: Convert to fraction form
    24,376/52,884 = 52,884/x
  3. Step 3: Cross multiply
    24,376x = 52,884 × 52,884
  4. Step 4: Simplify right side
    24,376x = 2,796,717,456
  5. Step 5: Solve for x
    x = 2,796,717,456/24,376
  6. Step 6: Final answer
    x = 114,732.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.