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Finding the Third Proportional to 2,138.06 and 3,198.56

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Solution

The third proportional to 2,138.06 and 3,198.56 is: 4,785.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.06 : 3,198.56 = 3,198.56 : x
  2. Step 2: Convert to fraction form
    2,138.06/3,198.56 = 3,198.56/x
  3. Step 3: Cross multiply
    2,138.06x = 3,198.56 × 3,198.56
  4. Step 4: Simplify right side
    2,138.06x = 10,230,802.07
  5. Step 5: Solve for x
    x = 10,230,802.07/2,138.06
  6. Step 6: Final answer
    x = 4,785.08

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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.