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Finding the Third Proportional to 24,380 and 57,494

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Solution

The third proportional to 24,380 and 57,494 is: 135,584.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,380 : 57,494 = 57,494 : x
  2. Step 2: Convert to fraction form
    24,380/57,494 = 57,494/x
  3. Step 3: Cross multiply
    24,380x = 57,494 × 57,494
  4. Step 4: Simplify right side
    24,380x = 3,305,560,036
  5. Step 5: Solve for x
    x = 3,305,560,036/24,380
  6. Step 6: Final answer
    x = 135,584.91

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.