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Finding the Third Proportional to 3,199.50 and 4,863.80

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Solution

The third proportional to 3,199.50 and 4,863.80 is: 7,393.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.50 : 4,863.80 = 4,863.80 : x
  2. Step 2: Convert to fraction form
    3,199.50/4,863.80 = 4,863.80/x
  3. Step 3: Cross multiply
    3,199.50x = 4,863.80 × 4,863.80
  4. Step 4: Simplify right side
    3,199.50x = 23,656,520.04
  5. Step 5: Solve for x
    x = 23,656,520.04/3,199.50
  6. Step 6: Final answer
    x = 7,393.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.