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Finding the Third Proportional to 24,379 and 52,549

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Solution

The third proportional to 24,379 and 52,549 is: 113,269.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,379 : 52,549 = 52,549 : x
  2. Step 2: Convert to fraction form
    24,379/52,549 = 52,549/x
  3. Step 3: Cross multiply
    24,379x = 52,549 × 52,549
  4. Step 4: Simplify right side
    24,379x = 2,761,397,401
  5. Step 5: Solve for x
    x = 2,761,397,401/24,379
  6. Step 6: Final answer
    x = 113,269.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.