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Finding the Third Proportional to 27,314 and 41,165

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Solution

The third proportional to 27,314 and 41,165 is: 62,039.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,314 : 41,165 = 41,165 : x
  2. Step 2: Convert to fraction form
    27,314/41,165 = 41,165/x
  3. Step 3: Cross multiply
    27,314x = 41,165 × 41,165
  4. Step 4: Simplify right side
    27,314x = 1,694,557,225
  5. Step 5: Solve for x
    x = 1,694,557,225/27,314
  6. Step 6: Final answer
    x = 62,039.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.