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Finding the Third Proportional to 3,986 and 5,994

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Solution

The third proportional to 3,986 and 5,994 is: 9,013.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986 : 5,994 = 5,994 : x
  2. Step 2: Convert to fraction form
    3,986/5,994 = 5,994/x
  3. Step 3: Cross multiply
    3,986x = 5,994 × 5,994
  4. Step 4: Simplify right side
    3,986x = 35,928,036
  5. Step 5: Solve for x
    x = 35,928,036/3,986
  6. Step 6: Final answer
    x = 9,013.56

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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.