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Finding the Third Proportional to 3,241.50 and 4,891.88

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Solution

The third proportional to 3,241.50 and 4,891.88 is: 7,382.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,241.50 : 4,891.88 = 4,891.88 : x
  2. Step 2: Convert to fraction form
    3,241.50/4,891.88 = 4,891.88/x
  3. Step 3: Cross multiply
    3,241.50x = 4,891.88 × 4,891.88
  4. Step 4: Simplify right side
    3,241.50x = 23,930,441.02
  5. Step 5: Solve for x
    x = 23,930,441.02/3,241.50
  6. Step 6: Final answer
    x = 7,382.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.