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Finding the Third Proportional to 27,092 and 58,597

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Solution

The third proportional to 27,092 and 58,597 is: 126,738.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,092 : 58,597 = 58,597 : x
  2. Step 2: Convert to fraction form
    27,092/58,597 = 58,597/x
  3. Step 3: Cross multiply
    27,092x = 58,597 × 58,597
  4. Step 4: Simplify right side
    27,092x = 3,433,608,409
  5. Step 5: Solve for x
    x = 3,433,608,409/27,092
  6. Step 6: Final answer
    x = 126,738.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.