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Finding the Third Proportional to 2,734.38 and 4,104.25

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Solution

The third proportional to 2,734.38 and 4,104.25 is: 6,160.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.38 : 4,104.25 = 4,104.25 : x
  2. Step 2: Convert to fraction form
    2,734.38/4,104.25 = 4,104.25/x
  3. Step 3: Cross multiply
    2,734.38x = 4,104.25 × 4,104.25
  4. Step 4: Simplify right side
    2,734.38x = 16,844,868.06
  5. Step 5: Solve for x
    x = 16,844,868.06/2,734.38
  6. Step 6: Final answer
    x = 6,160.41

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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.