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Finding the Third Proportional to 5,191.31 and 7,793.44

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Solution

The third proportional to 5,191.31 and 7,793.44 is: 11,699.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.31 : 7,793.44 = 7,793.44 : x
  2. Step 2: Convert to fraction form
    5,191.31/7,793.44 = 7,793.44/x
  3. Step 3: Cross multiply
    5,191.31x = 7,793.44 × 7,793.44
  4. Step 4: Simplify right side
    5,191.31x = 60,737,668.07
  5. Step 5: Solve for x
    x = 60,737,668.07/5,191.31
  6. Step 6: Final answer
    x = 11,699.87

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