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Finding the Third Proportional to 2,881.13 and 3,198.38

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Solution

The third proportional to 2,881.13 and 3,198.38 is: 3,550.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881.13 : 3,198.38 = 3,198.38 : x
  2. Step 2: Convert to fraction form
    2,881.13/3,198.38 = 3,198.38/x
  3. Step 3: Cross multiply
    2,881.13x = 3,198.38 × 3,198.38
  4. Step 4: Simplify right side
    2,881.13x = 10,229,602.64
  5. Step 5: Solve for x
    x = 10,229,602.64/2,881.13
  6. Step 6: Final answer
    x = 3,550.56

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.