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Finding the Third Proportional to 3,958.03 and 6,180.47

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Solution

The third proportional to 3,958.03 and 6,180.47 is: 9,650.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,958.03 : 6,180.47 = 6,180.47 : x
  2. Step 2: Convert to fraction form
    3,958.03/6,180.47 = 6,180.47/x
  3. Step 3: Cross multiply
    3,958.03x = 6,180.47 × 6,180.47
  4. Step 4: Simplify right side
    3,958.03x = 38,198,193.97
  5. Step 5: Solve for x
    x = 38,198,193.97/3,958.03
  6. Step 6: Final answer
    x = 9,650.81

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.