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Finding the Third Proportional to 37,227.94 and 80,287.88

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Solution

The third proportional to 37,227.94 and 80,287.88 is: 173,153.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,227.94 : 80,287.88 = 80,287.88 : x
  2. Step 2: Convert to fraction form
    37,227.94/80,287.88 = 80,287.88/x
  3. Step 3: Cross multiply
    37,227.94x = 80,287.88 × 80,287.88
  4. Step 4: Simplify right side
    37,227.94x = 6,446,142,872.02
  5. Step 5: Solve for x
    x = 6,446,142,872.02/37,227.94
  6. Step 6: Final answer
    x = 173,153.37

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.