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Finding the Third Proportional to 3,000.38 and 6,193.69

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Solution

The third proportional to 3,000.38 and 6,193.69 is: 12,785.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.38 : 6,193.69 = 6,193.69 : x
  2. Step 2: Convert to fraction form
    3,000.38/6,193.69 = 6,193.69/x
  3. Step 3: Cross multiply
    3,000.38x = 6,193.69 × 6,193.69
  4. Step 4: Simplify right side
    3,000.38x = 38,361,764.85
  5. Step 5: Solve for x
    x = 38,361,764.85/3,000.38
  6. Step 6: Final answer
    x = 12,785.66

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.