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Finding the Third Proportional to 3,166 and 5,086

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Solution

The third proportional to 3,166 and 5,086 is: 8,170.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166 : 5,086 = 5,086 : x
  2. Step 2: Convert to fraction form
    3,166/5,086 = 5,086/x
  3. Step 3: Cross multiply
    3,166x = 5,086 × 5,086
  4. Step 4: Simplify right side
    3,166x = 25,867,396
  5. Step 5: Solve for x
    x = 25,867,396/3,166
  6. Step 6: Final answer
    x = 8,170.37

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.