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Finding the Third Proportional to 11,881.69 and 18,571.78

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Solution

The third proportional to 11,881.69 and 18,571.78 is: 29,028.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,881.69 : 18,571.78 = 18,571.78 : x
  2. Step 2: Convert to fraction form
    11,881.69/18,571.78 = 18,571.78/x
  3. Step 3: Cross multiply
    11,881.69x = 18,571.78 × 18,571.78
  4. Step 4: Simplify right side
    11,881.69x = 344,911,058.80
  5. Step 5: Solve for x
    x = 344,911,058.80/11,881.69
  6. Step 6: Final answer
    x = 29,028.79

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.