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Finding the Third Proportional to 5,644.69 and 7,231.78

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Solution

The third proportional to 5,644.69 and 7,231.78 is: 9,265.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.69 : 7,231.78 = 7,231.78 : x
  2. Step 2: Convert to fraction form
    5,644.69/7,231.78 = 7,231.78/x
  3. Step 3: Cross multiply
    5,644.69x = 7,231.78 × 7,231.78
  4. Step 4: Simplify right side
    5,644.69x = 52,298,660.05
  5. Step 5: Solve for x
    x = 52,298,660.05/5,644.69
  6. Step 6: Final answer
    x = 9,265.11

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.