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Finding the Third Proportional to 3,832.73 and 5,860.27

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Solution

The third proportional to 3,832.73 and 5,860.27 is: 8,960.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.73 : 5,860.27 = 5,860.27 : x
  2. Step 2: Convert to fraction form
    3,832.73/5,860.27 = 5,860.27/x
  3. Step 3: Cross multiply
    3,832.73x = 5,860.27 × 5,860.27
  4. Step 4: Simplify right side
    3,832.73x = 34,342,713.20
  5. Step 5: Solve for x
    x = 34,342,713.20/3,832.73
  6. Step 6: Final answer
    x = 8,960.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.