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Finding the Third Proportional to 7,212.38 and 9,747.56

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Solution

The third proportional to 7,212.38 and 9,747.56 is: 13,173.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,212.38 : 9,747.56 = 9,747.56 : x
  2. Step 2: Convert to fraction form
    7,212.38/9,747.56 = 9,747.56/x
  3. Step 3: Cross multiply
    7,212.38x = 9,747.56 × 9,747.56
  4. Step 4: Simplify right side
    7,212.38x = 95,014,974.69
  5. Step 5: Solve for x
    x = 95,014,974.69/7,212.38
  6. Step 6: Final answer
    x = 13,173.88

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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.