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Finding the Third Proportional to 3,966 and 6,393

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Solution

The third proportional to 3,966 and 6,393 is: 10,305.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966 : 6,393 = 6,393 : x
  2. Step 2: Convert to fraction form
    3,966/6,393 = 6,393/x
  3. Step 3: Cross multiply
    3,966x = 6,393 × 6,393
  4. Step 4: Simplify right side
    3,966x = 40,870,449
  5. Step 5: Solve for x
    x = 40,870,449/3,966
  6. Step 6: Final answer
    x = 10,305.21

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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.