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Finding the Third Proportional to 5,001.75 and 7,231.78

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Solution

The third proportional to 5,001.75 and 7,231.78 is: 10,456.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,001.75 : 7,231.78 = 7,231.78 : x
  2. Step 2: Convert to fraction form
    5,001.75/7,231.78 = 7,231.78/x
  3. Step 3: Cross multiply
    5,001.75x = 7,231.78 × 7,231.78
  4. Step 4: Simplify right side
    5,001.75x = 52,298,660.05
  5. Step 5: Solve for x
    x = 52,298,660.05/5,001.75
  6. Step 6: Final answer
    x = 10,456.07

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.