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Finding the Third Proportional to 24,468 and 52,494

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Solution

The third proportional to 24,468 and 52,494 is: 112,621.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,468 : 52,494 = 52,494 : x
  2. Step 2: Convert to fraction form
    24,468/52,494 = 52,494/x
  3. Step 3: Cross multiply
    24,468x = 52,494 × 52,494
  4. Step 4: Simplify right side
    24,468x = 2,755,620,036
  5. Step 5: Solve for x
    x = 2,755,620,036/24,468
  6. Step 6: Final answer
    x = 112,621.38

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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.