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Finding the Third Proportional to 37,757.44 and 81,300.56

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Solution

The third proportional to 37,757.44 and 81,300.56 is: 175,059.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,757.44 : 81,300.56 = 81,300.56 : x
  2. Step 2: Convert to fraction form
    37,757.44/81,300.56 = 81,300.56/x
  3. Step 3: Cross multiply
    37,757.44x = 81,300.56 × 81,300.56
  4. Step 4: Simplify right side
    37,757.44x = 6,609,781,462.82
  5. Step 5: Solve for x
    x = 6,609,781,462.82/37,757.44
  6. Step 6: Final answer
    x = 175,059.06

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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.