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Finding the Third Proportional to 3,939.38 and 8,081.25

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Solution

The third proportional to 3,939.38 and 8,081.25 is: 16,577.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,939.38 : 8,081.25 = 8,081.25 : x
  2. Step 2: Convert to fraction form
    3,939.38/8,081.25 = 8,081.25/x
  3. Step 3: Cross multiply
    3,939.38x = 8,081.25 × 8,081.25
  4. Step 4: Simplify right side
    3,939.38x = 65,306,601.56
  5. Step 5: Solve for x
    x = 65,306,601.56/3,939.38
  6. Step 6: Final answer
    x = 16,577.91

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.