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Finding the Third Proportional to 37,991.75 and 87,951.38

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Solution

The third proportional to 37,991.75 and 87,951.38 is: 203,608.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,991.75 : 87,951.38 = 87,951.38 : x
  2. Step 2: Convert to fraction form
    37,991.75/87,951.38 = 87,951.38/x
  3. Step 3: Cross multiply
    37,991.75x = 87,951.38 × 87,951.38
  4. Step 4: Simplify right side
    37,991.75x = 7,735,444,364.39
  5. Step 5: Solve for x
    x = 7,735,444,364.39/37,991.75
  6. Step 6: Final answer
    x = 203,608.53

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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.