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Finding the Third Proportional to 24,003 and 52,374

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Solution

The third proportional to 24,003 and 52,374 is: 114,278.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,003 : 52,374 = 52,374 : x
  2. Step 2: Convert to fraction form
    24,003/52,374 = 52,374/x
  3. Step 3: Cross multiply
    24,003x = 52,374 × 52,374
  4. Step 4: Simplify right side
    24,003x = 2,743,035,876
  5. Step 5: Solve for x
    x = 2,743,035,876/24,003
  6. Step 6: Final answer
    x = 114,278.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.