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Finding the Third Proportional to 3,198.87 and 7,693.42

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Solution

The third proportional to 3,198.87 and 7,693.42 is: 18,503.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.87 : 7,693.42 = 7,693.42 : x
  2. Step 2: Convert to fraction form
    3,198.87/7,693.42 = 7,693.42/x
  3. Step 3: Cross multiply
    3,198.87x = 7,693.42 × 7,693.42
  4. Step 4: Simplify right side
    3,198.87x = 59,188,680.04
  5. Step 5: Solve for x
    x = 59,188,680.04/3,198.87
  6. Step 6: Final answer
    x = 18,503.01

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.