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Finding the Third Proportional to 26,932 and 58,165

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Solution

The third proportional to 26,932 and 58,165 is: 125,618.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,932 : 58,165 = 58,165 : x
  2. Step 2: Convert to fraction form
    26,932/58,165 = 58,165/x
  3. Step 3: Cross multiply
    26,932x = 58,165 × 58,165
  4. Step 4: Simplify right side
    26,932x = 3,383,167,225
  5. Step 5: Solve for x
    x = 3,383,167,225/26,932
  6. Step 6: Final answer
    x = 125,618.86

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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.