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Finding the Third Proportional to 24,402 and 54,366

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Solution

The third proportional to 24,402 and 54,366 is: 121,123.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,402 : 54,366 = 54,366 : x
  2. Step 2: Convert to fraction form
    24,402/54,366 = 54,366/x
  3. Step 3: Cross multiply
    24,402x = 54,366 × 54,366
  4. Step 4: Simplify right side
    24,402x = 2,955,661,956
  5. Step 5: Solve for x
    x = 2,955,661,956/24,402
  6. Step 6: Final answer
    x = 121,123.76

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.