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Finding the Third Proportional to 2,019.38 and 3,198.94

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Solution

The third proportional to 2,019.38 and 3,198.94 is: 5,067.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.38 : 3,198.94 = 3,198.94 : x
  2. Step 2: Convert to fraction form
    2,019.38/3,198.94 = 3,198.94/x
  3. Step 3: Cross multiply
    2,019.38x = 3,198.94 × 3,198.94
  4. Step 4: Simplify right side
    2,019.38x = 10,233,201.13
  5. Step 5: Solve for x
    x = 10,233,201.13/2,019.38
  6. Step 6: Final answer
    x = 5,067.51

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.