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Finding the Third Proportional to 3,997 and 8,186

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Solution

The third proportional to 3,997 and 8,186 is: 16,765.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997 : 8,186 = 8,186 : x
  2. Step 2: Convert to fraction form
    3,997/8,186 = 8,186/x
  3. Step 3: Cross multiply
    3,997x = 8,186 × 8,186
  4. Step 4: Simplify right side
    3,997x = 67,010,596
  5. Step 5: Solve for x
    x = 67,010,596/3,997
  6. Step 6: Final answer
    x = 16,765.22

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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.