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Finding the Third Proportional to 1,350.38 and 2,794.13

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Solution

The third proportional to 1,350.38 and 2,794.13 is: 5,781.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.38 : 2,794.13 = 2,794.13 : x
  2. Step 2: Convert to fraction form
    1,350.38/2,794.13 = 2,794.13/x
  3. Step 3: Cross multiply
    1,350.38x = 2,794.13 × 2,794.13
  4. Step 4: Simplify right side
    1,350.38x = 7,807,134.52
  5. Step 5: Solve for x
    x = 7,807,134.52/1,350.38
  6. Step 6: Final answer
    x = 5,781.46

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.