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Finding the Third Proportional to 3,966 and 5,727

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Solution

The third proportional to 3,966 and 5,727 is: 8,269.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966 : 5,727 = 5,727 : x
  2. Step 2: Convert to fraction form
    3,966/5,727 = 5,727/x
  3. Step 3: Cross multiply
    3,966x = 5,727 × 5,727
  4. Step 4: Simplify right side
    3,966x = 32,798,529
  5. Step 5: Solve for x
    x = 32,798,529/3,966
  6. Step 6: Final answer
    x = 8,269.93

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.