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Finding the Third Proportional to 22,034 and 48,422

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Solution

The third proportional to 22,034 and 48,422 is: 106,412.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,034 : 48,422 = 48,422 : x
  2. Step 2: Convert to fraction form
    22,034/48,422 = 48,422/x
  3. Step 3: Cross multiply
    22,034x = 48,422 × 48,422
  4. Step 4: Simplify right side
    22,034x = 2,344,690,084
  5. Step 5: Solve for x
    x = 2,344,690,084/22,034
  6. Step 6: Final answer
    x = 106,412.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.