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Finding the Third Proportional to 2,231.72 and 3,187.69

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Solution

The third proportional to 2,231.72 and 3,187.69 is: 4,553.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.72 : 3,187.69 = 3,187.69 : x
  2. Step 2: Convert to fraction form
    2,231.72/3,187.69 = 3,187.69/x
  3. Step 3: Cross multiply
    2,231.72x = 3,187.69 × 3,187.69
  4. Step 4: Simplify right side
    2,231.72x = 10,161,351.60
  5. Step 5: Solve for x
    x = 10,161,351.60/2,231.72
  6. Step 6: Final answer
    x = 4,553.15

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.