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Finding the Third Proportional to 3,198.75 and 3,631.50

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Solution

The third proportional to 3,198.75 and 3,631.50 is: 4,122.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.75 : 3,631.50 = 3,631.50 : x
  2. Step 2: Convert to fraction form
    3,198.75/3,631.50 = 3,631.50/x
  3. Step 3: Cross multiply
    3,198.75x = 3,631.50 × 3,631.50
  4. Step 4: Simplify right side
    3,198.75x = 13,187,792.25
  5. Step 5: Solve for x
    x = 13,187,792.25/3,198.75
  6. Step 6: Final answer
    x = 4,122.80

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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.