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Finding the Third Proportional to 3,286.50 and 3,975

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Solution

The third proportional to 3,286.50 and 3,975 is: 4,807.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.50 : 3,975 = 3,975 : x
  2. Step 2: Convert to fraction form
    3,286.50/3,975 = 3,975/x
  3. Step 3: Cross multiply
    3,286.50x = 3,975 × 3,975
  4. Step 4: Simplify right side
    3,286.50x = 15,800,625
  5. Step 5: Solve for x
    x = 15,800,625/3,286.50
  6. Step 6: Final answer
    x = 4,807.74

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.