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Finding the Third Proportional to 2,627.67 and 3,952.55

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Solution

The third proportional to 2,627.67 and 3,952.55 is: 5,945.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627.67 : 3,952.55 = 3,952.55 : x
  2. Step 2: Convert to fraction form
    2,627.67/3,952.55 = 3,952.55/x
  3. Step 3: Cross multiply
    2,627.67x = 3,952.55 × 3,952.55
  4. Step 4: Simplify right side
    2,627.67x = 15,622,626.80
  5. Step 5: Solve for x
    x = 15,622,626.80/2,627.67
  6. Step 6: Final answer
    x = 5,945.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.