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Finding the Third Proportional to 6,793.13 and 9,142.31

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Solution

The third proportional to 6,793.13 and 9,142.31 is: 12,303.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,793.13 : 9,142.31 = 9,142.31 : x
  2. Step 2: Convert to fraction form
    6,793.13/9,142.31 = 9,142.31/x
  3. Step 3: Cross multiply
    6,793.13x = 9,142.31 × 9,142.31
  4. Step 4: Simplify right side
    6,793.13x = 83,581,877.85
  5. Step 5: Solve for x
    x = 83,581,877.85/6,793.13
  6. Step 6: Final answer
    x = 12,303.89

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.