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Finding the Third Proportional to 1,236.09 and 2,198.18

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Solution

The third proportional to 1,236.09 and 2,198.18 is: 3,909.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.09 : 2,198.18 = 2,198.18 : x
  2. Step 2: Convert to fraction form
    1,236.09/2,198.18 = 2,198.18/x
  3. Step 3: Cross multiply
    1,236.09x = 2,198.18 × 2,198.18
  4. Step 4: Simplify right side
    1,236.09x = 4,831,993.94
  5. Step 5: Solve for x
    x = 4,831,993.94/1,236.09
  6. Step 6: Final answer
    x = 3,909.08

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.