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Finding the Third Proportional to 37,535.91 and 81,610.03

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Solution

The third proportional to 37,535.91 and 81,610.03 is: 177,435.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,535.91 : 81,610.03 = 81,610.03 : x
  2. Step 2: Convert to fraction form
    37,535.91/81,610.03 = 81,610.03/x
  3. Step 3: Cross multiply
    37,535.91x = 81,610.03 × 81,610.03
  4. Step 4: Simplify right side
    37,535.91x = 6,660,197,200.63
  5. Step 5: Solve for x
    x = 6,660,197,200.63/37,535.91
  6. Step 6: Final answer
    x = 177,435.36

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.