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Finding the Third Proportional to 3,231.56 and 7,212.38

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Solution

The third proportional to 3,231.56 and 7,212.38 is: 16,096.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,231.56 : 7,212.38 = 7,212.38 : x
  2. Step 2: Convert to fraction form
    3,231.56/7,212.38 = 7,212.38/x
  3. Step 3: Cross multiply
    3,231.56x = 7,212.38 × 7,212.38
  4. Step 4: Simplify right side
    3,231.56x = 52,018,353.14
  5. Step 5: Solve for x
    x = 52,018,353.14/3,231.56
  6. Step 6: Final answer
    x = 16,096.97

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.