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Finding the Third Proportional to 3,198.75 and 4,294.13

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Solution

The third proportional to 3,198.75 and 4,294.13 is: 5,764.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.75 : 4,294.13 = 4,294.13 : x
  2. Step 2: Convert to fraction form
    3,198.75/4,294.13 = 4,294.13/x
  3. Step 3: Cross multiply
    3,198.75x = 4,294.13 × 4,294.13
  4. Step 4: Simplify right side
    3,198.75x = 18,439,509.52
  5. Step 5: Solve for x
    x = 18,439,509.52/3,198.75
  6. Step 6: Final answer
    x = 5,764.60

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.