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Finding the Third Proportional to 37,993.50 and 87,955.31

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Solution

The third proportional to 37,993.50 and 87,955.31 is: 203,617.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,993.50 : 87,955.31 = 87,955.31 : x
  2. Step 2: Convert to fraction form
    37,993.50/87,955.31 = 87,955.31/x
  3. Step 3: Cross multiply
    37,993.50x = 87,955.31 × 87,955.31
  4. Step 4: Simplify right side
    37,993.50x = 7,736,136,996.97
  5. Step 5: Solve for x
    x = 7,736,136,996.97/37,993.50
  6. Step 6: Final answer
    x = 203,617.38

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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.