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Finding the Third Proportional to 11,195.06 and 24,138.38

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Solution

The third proportional to 11,195.06 and 24,138.38 is: 52,046.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,195.06 : 24,138.38 = 24,138.38 : x
  2. Step 2: Convert to fraction form
    11,195.06/24,138.38 = 24,138.38/x
  3. Step 3: Cross multiply
    11,195.06x = 24,138.38 × 24,138.38
  4. Step 4: Simplify right side
    11,195.06x = 582,661,147.64
  5. Step 5: Solve for x
    x = 582,661,147.64/11,195.06
  6. Step 6: Final answer
    x = 52,046.26

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.