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Finding the Third Proportional to 3,249.75 and 4,966.88

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Solution

The third proportional to 3,249.75 and 4,966.88 is: 7,591.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,249.75 : 4,966.88 = 4,966.88 : x
  2. Step 2: Convert to fraction form
    3,249.75/4,966.88 = 4,966.88/x
  3. Step 3: Cross multiply
    3,249.75x = 4,966.88 × 4,966.88
  4. Step 4: Simplify right side
    3,249.75x = 24,669,847.27
  5. Step 5: Solve for x
    x = 24,669,847.27/3,249.75
  6. Step 6: Final answer
    x = 7,591.31

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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.