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Finding the Third Proportional to 11,424.09 and 17,040.66

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Solution

The third proportional to 11,424.09 and 17,040.66 is: 25,418.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,424.09 : 17,040.66 = 17,040.66 : x
  2. Step 2: Convert to fraction form
    11,424.09/17,040.66 = 17,040.66/x
  3. Step 3: Cross multiply
    11,424.09x = 17,040.66 × 17,040.66
  4. Step 4: Simplify right side
    11,424.09x = 290,383,965.43
  5. Step 5: Solve for x
    x = 290,383,965.43/11,424.09
  6. Step 6: Final answer
    x = 25,418.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.