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Finding the Third Proportional to 11,936.66 and 18,092.41

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Solution

The third proportional to 11,936.66 and 18,092.41 is: 27,422.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,936.66 : 18,092.41 = 18,092.41 : x
  2. Step 2: Convert to fraction form
    11,936.66/18,092.41 = 18,092.41/x
  3. Step 3: Cross multiply
    11,936.66x = 18,092.41 × 18,092.41
  4. Step 4: Simplify right side
    11,936.66x = 327,335,155.08
  5. Step 5: Solve for x
    x = 327,335,155.08/11,936.66
  6. Step 6: Final answer
    x = 27,422.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.