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Finding the Third Proportional to 37,982.25 and 87,933.38

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Solution

The third proportional to 37,982.25 and 87,933.38 is: 203,576.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,982.25 : 87,933.38 = 87,933.38 : x
  2. Step 2: Convert to fraction form
    37,982.25/87,933.38 = 87,933.38/x
  3. Step 3: Cross multiply
    37,982.25x = 87,933.38 × 87,933.38
  4. Step 4: Simplify right side
    37,982.25x = 7,732,278,438.89
  5. Step 5: Solve for x
    x = 7,732,278,438.89/37,982.25
  6. Step 6: Final answer
    x = 203,576.10

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.