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Finding the Third Proportional to 1,198.13 and 2,882.81

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Solution

The third proportional to 1,198.13 and 2,882.81 is: 6,936.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.13 : 2,882.81 = 2,882.81 : x
  2. Step 2: Convert to fraction form
    1,198.13/2,882.81 = 2,882.81/x
  3. Step 3: Cross multiply
    1,198.13x = 2,882.81 × 2,882.81
  4. Step 4: Simplify right side
    1,198.13x = 8,310,607.91
  5. Step 5: Solve for x
    x = 8,310,607.91/1,198.13
  6. Step 6: Final answer
    x = 6,936.34

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.