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Finding the Third Proportional to 27,422 and 59,002

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Solution

The third proportional to 27,422 and 59,002 is: 126,950.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,422 : 59,002 = 59,002 : x
  2. Step 2: Convert to fraction form
    27,422/59,002 = 59,002/x
  3. Step 3: Cross multiply
    27,422x = 59,002 × 59,002
  4. Step 4: Simplify right side
    27,422x = 3,481,236,004
  5. Step 5: Solve for x
    x = 3,481,236,004/27,422
  6. Step 6: Final answer
    x = 126,950.48

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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.