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Finding the Third Proportional to 5,963.41 and 8,958.73

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Solution

The third proportional to 5,963.41 and 8,958.73 is: 13,458.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,963.41 : 8,958.73 = 8,958.73 : x
  2. Step 2: Convert to fraction form
    5,963.41/8,958.73 = 8,958.73/x
  3. Step 3: Cross multiply
    5,963.41x = 8,958.73 × 8,958.73
  4. Step 4: Simplify right side
    5,963.41x = 80,258,781.62
  5. Step 5: Solve for x
    x = 80,258,781.62/5,963.41
  6. Step 6: Final answer
    x = 13,458.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.