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Finding the Third Proportional to 3,193 and 4,793.88

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Solution

The third proportional to 3,193 and 4,793.88 is: 7,197.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193 : 4,793.88 = 4,793.88 : x
  2. Step 2: Convert to fraction form
    3,193/4,793.88 = 4,793.88/x
  3. Step 3: Cross multiply
    3,193x = 4,793.88 × 4,793.88
  4. Step 4: Simplify right side
    3,193x = 22,981,237.52
  5. Step 5: Solve for x
    x = 22,981,237.52/3,193
  6. Step 6: Final answer
    x = 7,197.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.