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Finding the Third Proportional to 17,974.97 and 27,213.19

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Solution

The third proportional to 17,974.97 and 27,213.19 is: 41,199.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,974.97 : 27,213.19 = 27,213.19 : x
  2. Step 2: Convert to fraction form
    17,974.97/27,213.19 = 27,213.19/x
  3. Step 3: Cross multiply
    17,974.97x = 27,213.19 × 27,213.19
  4. Step 4: Simplify right side
    17,974.97x = 740,557,573.91
  5. Step 5: Solve for x
    x = 740,557,573.91/17,974.97
  6. Step 6: Final answer
    x = 41,199.38

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.