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Finding the Third Proportional to 2,745.56 and 3,372.75

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Solution

The third proportional to 2,745.56 and 3,372.75 is: 4,143.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.56 : 3,372.75 = 3,372.75 : x
  2. Step 2: Convert to fraction form
    2,745.56/3,372.75 = 3,372.75/x
  3. Step 3: Cross multiply
    2,745.56x = 3,372.75 × 3,372.75
  4. Step 4: Simplify right side
    2,745.56x = 11,375,442.56
  5. Step 5: Solve for x
    x = 11,375,442.56/2,745.56
  6. Step 6: Final answer
    x = 4,143.21

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Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.