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Finding the Third Proportional to 7,198.88 and 9,198.56

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Solution

The third proportional to 7,198.88 and 9,198.56 is: 11,753.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198.88 : 9,198.56 = 9,198.56 : x
  2. Step 2: Convert to fraction form
    7,198.88/9,198.56 = 9,198.56/x
  3. Step 3: Cross multiply
    7,198.88x = 9,198.56 × 9,198.56
  4. Step 4: Simplify right side
    7,198.88x = 84,613,552.07
  5. Step 5: Solve for x
    x = 84,613,552.07/7,198.88
  6. Step 6: Final answer
    x = 11,753.72

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.