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Finding the Third Proportional to 18,733.73 and 39,199.41

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Solution

The third proportional to 18,733.73 and 39,199.41 is: 82,022.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,733.73 : 39,199.41 = 39,199.41 : x
  2. Step 2: Convert to fraction form
    18,733.73/39,199.41 = 39,199.41/x
  3. Step 3: Cross multiply
    18,733.73x = 39,199.41 × 39,199.41
  4. Step 4: Simplify right side
    18,733.73x = 1,536,593,450.35
  5. Step 5: Solve for x
    x = 1,536,593,450.35/18,733.73
  6. Step 6: Final answer
    x = 82,022.81

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.