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Finding the Third Proportional to 17,781 and 41,165

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Solution

The third proportional to 17,781 and 41,165 is: 95,301.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,781 : 41,165 = 41,165 : x
  2. Step 2: Convert to fraction form
    17,781/41,165 = 41,165/x
  3. Step 3: Cross multiply
    17,781x = 41,165 × 41,165
  4. Step 4: Simplify right side
    17,781x = 1,694,557,225
  5. Step 5: Solve for x
    x = 1,694,557,225/17,781
  6. Step 6: Final answer
    x = 95,301.57

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.