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Finding the Third Proportional to 24,496 and 52,198

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Solution

The third proportional to 24,496 and 52,198 is: 111,227.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,496 : 52,198 = 52,198 : x
  2. Step 2: Convert to fraction form
    24,496/52,198 = 52,198/x
  3. Step 3: Cross multiply
    24,496x = 52,198 × 52,198
  4. Step 4: Simplify right side
    24,496x = 2,724,631,204
  5. Step 5: Solve for x
    x = 2,724,631,204/24,496
  6. Step 6: Final answer
    x = 111,227.60

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.