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Finding the Third Proportional to 18,393.75 and 38,998.97

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Solution

The third proportional to 18,393.75 and 38,998.97 is: 82,686.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,393.75 : 38,998.97 = 38,998.97 : x
  2. Step 2: Convert to fraction form
    18,393.75/38,998.97 = 38,998.97/x
  3. Step 3: Cross multiply
    18,393.75x = 38,998.97 × 38,998.97
  4. Step 4: Simplify right side
    18,393.75x = 1,520,919,563.56
  5. Step 5: Solve for x
    x = 1,520,919,563.56/18,393.75
  6. Step 6: Final answer
    x = 82,686.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.