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Finding the Third Proportional to 40,965.75 and 87,625.13

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Solution

The third proportional to 40,965.75 and 87,625.13 is: 187,428.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,965.75 : 87,625.13 = 87,625.13 : x
  2. Step 2: Convert to fraction form
    40,965.75/87,625.13 = 87,625.13/x
  3. Step 3: Cross multiply
    40,965.75x = 87,625.13 × 87,625.13
  4. Step 4: Simplify right side
    40,965.75x = 7,678,162,531.27
  5. Step 5: Solve for x
    x = 7,678,162,531.27/40,965.75
  6. Step 6: Final answer
    x = 187,428.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.