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Finding the Third Proportional to 27,422 and 58,932

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Solution

The third proportional to 27,422 and 58,932 is: 126,649.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,422 : 58,932 = 58,932 : x
  2. Step 2: Convert to fraction form
    27,422/58,932 = 58,932/x
  3. Step 3: Cross multiply
    27,422x = 58,932 × 58,932
  4. Step 4: Simplify right side
    27,422x = 3,472,980,624
  5. Step 5: Solve for x
    x = 3,472,980,624/27,422
  6. Step 6: Final answer
    x = 126,649.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.