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Finding the Third Proportional to 22,357 and 33,149

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Solution

The third proportional to 22,357 and 33,149 is: 49,150.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,357 : 33,149 = 33,149 : x
  2. Step 2: Convert to fraction form
    22,357/33,149 = 33,149/x
  3. Step 3: Cross multiply
    22,357x = 33,149 × 33,149
  4. Step 4: Simplify right side
    22,357x = 1,098,856,201
  5. Step 5: Solve for x
    x = 1,098,856,201/22,357
  6. Step 6: Final answer
    x = 49,150.43

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.