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Finding the Third Proportional to 2,738.02 and 3,874.24

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Solution

The third proportional to 2,738.02 and 3,874.24 is: 5,481.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.02 : 3,874.24 = 3,874.24 : x
  2. Step 2: Convert to fraction form
    2,738.02/3,874.24 = 3,874.24/x
  3. Step 3: Cross multiply
    2,738.02x = 3,874.24 × 3,874.24
  4. Step 4: Simplify right side
    2,738.02x = 15,009,707.13
  5. Step 5: Solve for x
    x = 15,009,707.13/2,738.02
  6. Step 6: Final answer
    x = 5,481.95

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.