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Finding the Third Proportional to 3,198.38 and 6,776.44

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Solution

The third proportional to 3,198.38 and 6,776.44 is: 14,357.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.38 : 6,776.44 = 6,776.44 : x
  2. Step 2: Convert to fraction form
    3,198.38/6,776.44 = 6,776.44/x
  3. Step 3: Cross multiply
    3,198.38x = 6,776.44 × 6,776.44
  4. Step 4: Simplify right side
    3,198.38x = 45,920,105.19
  5. Step 5: Solve for x
    x = 45,920,105.19/3,198.38
  6. Step 6: Final answer
    x = 14,357.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.