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Finding the Third Proportional to 22,767 and 49,422

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Solution

The third proportional to 22,767 and 49,422 is: 107,283.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,767 : 49,422 = 49,422 : x
  2. Step 2: Convert to fraction form
    22,767/49,422 = 49,422/x
  3. Step 3: Cross multiply
    22,767x = 49,422 × 49,422
  4. Step 4: Simplify right side
    22,767x = 2,442,534,084
  5. Step 5: Solve for x
    x = 2,442,534,084/22,767
  6. Step 6: Final answer
    x = 107,283.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.