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Finding the Third Proportional to 38,227.50 and 81,375.75

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Solution

The third proportional to 38,227.50 and 81,375.75 is: 173,226.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,227.50 : 81,375.75 = 81,375.75 : x
  2. Step 2: Convert to fraction form
    38,227.50/81,375.75 = 81,375.75/x
  3. Step 3: Cross multiply
    38,227.50x = 81,375.75 × 81,375.75
  4. Step 4: Simplify right side
    38,227.50x = 6,622,012,688.06
  5. Step 5: Solve for x
    x = 6,622,012,688.06/38,227.50
  6. Step 6: Final answer
    x = 173,226.41

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.