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Finding the Third Proportional to 1,198.55 and 2,543.91

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Solution

The third proportional to 1,198.55 and 2,543.91 is: 5,399.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.55 : 2,543.91 = 2,543.91 : x
  2. Step 2: Convert to fraction form
    1,198.55/2,543.91 = 2,543.91/x
  3. Step 3: Cross multiply
    1,198.55x = 2,543.91 × 2,543.91
  4. Step 4: Simplify right side
    1,198.55x = 6,471,459.01
  5. Step 5: Solve for x
    x = 6,471,459.01/1,198.55
  6. Step 6: Final answer
    x = 5,399.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.