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Finding the Third Proportional to 7,198.88 and 11,105.72

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Solution

The third proportional to 7,198.88 and 11,105.72 is: 17,132.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198.88 : 11,105.72 = 11,105.72 : x
  2. Step 2: Convert to fraction form
    7,198.88/11,105.72 = 11,105.72/x
  3. Step 3: Cross multiply
    7,198.88x = 11,105.72 × 11,105.72
  4. Step 4: Simplify right side
    7,198.88x = 123,336,988.95
  5. Step 5: Solve for x
    x = 123,336,988.95/7,198.88
  6. Step 6: Final answer
    x = 17,132.81

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.