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Finding the Third Proportional to 24,163 and 52,463

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Solution

The third proportional to 24,163 and 52,463 is: 113,908.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,163 : 52,463 = 52,463 : x
  2. Step 2: Convert to fraction form
    24,163/52,463 = 52,463/x
  3. Step 3: Cross multiply
    24,163x = 52,463 × 52,463
  4. Step 4: Simplify right side
    24,163x = 2,752,366,369
  5. Step 5: Solve for x
    x = 2,752,366,369/24,163
  6. Step 6: Final answer
    x = 113,908.30

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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.