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Finding the Third Proportional to 27,292 and 58,782

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Solution

The third proportional to 27,292 and 58,782 is: 126,605.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,292 : 58,782 = 58,782 : x
  2. Step 2: Convert to fraction form
    27,292/58,782 = 58,782/x
  3. Step 3: Cross multiply
    27,292x = 58,782 × 58,782
  4. Step 4: Simplify right side
    27,292x = 3,455,323,524
  5. Step 5: Solve for x
    x = 3,455,323,524/27,292
  6. Step 6: Final answer
    x = 126,605.73

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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.