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Finding the Third Proportional to 3,781.69 and 10,240.17

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Solution

The third proportional to 3,781.69 and 10,240.17 is: 27,728.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.69 : 10,240.17 = 10,240.17 : x
  2. Step 2: Convert to fraction form
    3,781.69/10,240.17 = 10,240.17/x
  3. Step 3: Cross multiply
    3,781.69x = 10,240.17 × 10,240.17
  4. Step 4: Simplify right side
    3,781.69x = 104,861,120.03
  5. Step 5: Solve for x
    x = 104,861,120.03/3,781.69
  6. Step 6: Final answer
    x = 27,728.66

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Why These Related Problems?

These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.