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Finding the Third Proportional to 11,902.22 and 28,198.69

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Solution

The third proportional to 11,902.22 and 28,198.69 is: 66,808.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902.22 : 28,198.69 = 28,198.69 : x
  2. Step 2: Convert to fraction form
    11,902.22/28,198.69 = 28,198.69/x
  3. Step 3: Cross multiply
    11,902.22x = 28,198.69 × 28,198.69
  4. Step 4: Simplify right side
    11,902.22x = 795,165,976.72
  5. Step 5: Solve for x
    x = 795,165,976.72/11,902.22
  6. Step 6: Final answer
    x = 66,808.21

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.