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Finding the Third Proportional to 3,966 and 5,149

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Solution

The third proportional to 3,966 and 5,149 is: 6,684.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966 : 5,149 = 5,149 : x
  2. Step 2: Convert to fraction form
    3,966/5,149 = 5,149/x
  3. Step 3: Cross multiply
    3,966x = 5,149 × 5,149
  4. Step 4: Simplify right side
    3,966x = 26,512,201
  5. Step 5: Solve for x
    x = 26,512,201/3,966
  6. Step 6: Final answer
    x = 6,684.87

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.