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Finding the Third Proportional to 3,979 and 5,847

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Solution

The third proportional to 3,979 and 5,847 is: 8,591.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,979 : 5,847 = 5,847 : x
  2. Step 2: Convert to fraction form
    3,979/5,847 = 5,847/x
  3. Step 3: Cross multiply
    3,979x = 5,847 × 5,847
  4. Step 4: Simplify right side
    3,979x = 34,187,409
  5. Step 5: Solve for x
    x = 34,187,409/3,979
  6. Step 6: Final answer
    x = 8,591.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.