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Finding the Third Proportional to 8,231.68 and 9,096.66

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Solution

The third proportional to 8,231.68 and 9,096.66 is: 10,052.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.68 : 9,096.66 = 9,096.66 : x
  2. Step 2: Convert to fraction form
    8,231.68/9,096.66 = 9,096.66/x
  3. Step 3: Cross multiply
    8,231.68x = 9,096.66 × 9,096.66
  4. Step 4: Simplify right side
    8,231.68x = 82,749,221.56
  5. Step 5: Solve for x
    x = 82,749,221.56/8,231.68
  6. Step 6: Final answer
    x = 10,052.53

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.