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Finding the Third Proportional to 41,753.25 and 86,949

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Solution

The third proportional to 41,753.25 and 86,949 is: 181,066.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,753.25 : 86,949 = 86,949 : x
  2. Step 2: Convert to fraction form
    41,753.25/86,949 = 86,949/x
  3. Step 3: Cross multiply
    41,753.25x = 86,949 × 86,949
  4. Step 4: Simplify right side
    41,753.25x = 7,560,128,601
  5. Step 5: Solve for x
    x = 7,560,128,601/41,753.25
  6. Step 6: Final answer
    x = 181,066.83

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.