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Finding the Third Proportional to 22,564 and 33,474

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Solution

The third proportional to 22,564 and 33,474 is: 49,659.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,564 : 33,474 = 33,474 : x
  2. Step 2: Convert to fraction form
    22,564/33,474 = 33,474/x
  3. Step 3: Cross multiply
    22,564x = 33,474 × 33,474
  4. Step 4: Simplify right side
    22,564x = 1,120,508,676
  5. Step 5: Solve for x
    x = 1,120,508,676/22,564
  6. Step 6: Final answer
    x = 49,659.13

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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.