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Finding the Third Proportional to 18,831 and 37,189.50

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Solution

The third proportional to 18,831 and 37,189.50 is: 73,445.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,831 : 37,189.50 = 37,189.50 : x
  2. Step 2: Convert to fraction form
    18,831/37,189.50 = 37,189.50/x
  3. Step 3: Cross multiply
    18,831x = 37,189.50 × 37,189.50
  4. Step 4: Simplify right side
    18,831x = 1,383,058,910.25
  5. Step 5: Solve for x
    x = 1,383,058,910.25/18,831
  6. Step 6: Final answer
    x = 73,445.86

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.