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Finding the Third Proportional to 3,899 and 5,831

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Solution

The third proportional to 3,899 and 5,831 is: 8,720.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899 : 5,831 = 5,831 : x
  2. Step 2: Convert to fraction form
    3,899/5,831 = 5,831/x
  3. Step 3: Cross multiply
    3,899x = 5,831 × 5,831
  4. Step 4: Simplify right side
    3,899x = 34,000,561
  5. Step 5: Solve for x
    x = 34,000,561/3,899
  6. Step 6: Final answer
    x = 8,720.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.