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Finding the Third Proportional to 24,122 and 52,374

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Solution

The third proportional to 24,122 and 52,374 is: 113,715.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,122 : 52,374 = 52,374 : x
  2. Step 2: Convert to fraction form
    24,122/52,374 = 52,374/x
  3. Step 3: Cross multiply
    24,122x = 52,374 × 52,374
  4. Step 4: Simplify right side
    24,122x = 2,743,035,876
  5. Step 5: Solve for x
    x = 2,743,035,876/24,122
  6. Step 6: Final answer
    x = 113,715.11

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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.