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Finding the Third Proportional to 1,331.52 and 1,997.27

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Solution

The third proportional to 1,331.52 and 1,997.27 is: 2,995.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.52 : 1,997.27 = 1,997.27 : x
  2. Step 2: Convert to fraction form
    1,331.52/1,997.27 = 1,997.27/x
  3. Step 3: Cross multiply
    1,331.52x = 1,997.27 × 1,997.27
  4. Step 4: Simplify right side
    1,331.52x = 3,989,107.04
  5. Step 5: Solve for x
    x = 3,989,107.04/1,331.52
  6. Step 6: Final answer
    x = 2,995.91

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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.