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Finding the Third Proportional to 3,998.11 and 5,997.16

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Solution

The third proportional to 3,998.11 and 5,997.16 is: 8,995.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.11 : 5,997.16 = 5,997.16 : x
  2. Step 2: Convert to fraction form
    3,998.11/5,997.16 = 5,997.16/x
  3. Step 3: Cross multiply
    3,998.11x = 5,997.16 × 5,997.16
  4. Step 4: Simplify right side
    3,998.11x = 35,965,976.79
  5. Step 5: Solve for x
    x = 35,965,976.79/3,998.11
  6. Step 6: Final answer
    x = 8,995.75

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1.5x scale

Why These Related Problems?

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