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Finding the Third Proportional to 4,138.31 and 8,379.56

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Solution

The third proportional to 4,138.31 and 8,379.56 is: 16,967.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.31 : 8,379.56 = 8,379.56 : x
  2. Step 2: Convert to fraction form
    4,138.31/8,379.56 = 8,379.56/x
  3. Step 3: Cross multiply
    4,138.31x = 8,379.56 × 8,379.56
  4. Step 4: Simplify right side
    4,138.31x = 70,217,067.69
  5. Step 5: Solve for x
    x = 70,217,067.69/4,138.31
  6. Step 6: Final answer
    x = 16,967.56

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.