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Finding the Third Proportional to 24,144 and 51,474

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Solution

The third proportional to 24,144 and 51,474 is: 109,740.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,144 : 51,474 = 51,474 : x
  2. Step 2: Convert to fraction form
    24,144/51,474 = 51,474/x
  3. Step 3: Cross multiply
    24,144x = 51,474 × 51,474
  4. Step 4: Simplify right side
    24,144x = 2,649,572,676
  5. Step 5: Solve for x
    x = 2,649,572,676/24,144
  6. Step 6: Final answer
    x = 109,740.42

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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.