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Finding the Third Proportional to 37,755.94 and 81,297.56

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Solution

The third proportional to 37,755.94 and 81,297.56 is: 175,053.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,755.94 : 81,297.56 = 81,297.56 : x
  2. Step 2: Convert to fraction form
    37,755.94/81,297.56 = 81,297.56/x
  3. Step 3: Cross multiply
    37,755.94x = 81,297.56 × 81,297.56
  4. Step 4: Simplify right side
    37,755.94x = 6,609,293,668.44
  5. Step 5: Solve for x
    x = 6,609,293,668.44/37,755.94
  6. Step 6: Final answer
    x = 175,053.09

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.