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Finding the Third Proportional to 37,443.52 and 81,448.03

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Solution

The third proportional to 37,443.52 and 81,448.03 is: 177,167.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,443.52 : 81,448.03 = 81,448.03 : x
  2. Step 2: Convert to fraction form
    37,443.52/81,448.03 = 81,448.03/x
  3. Step 3: Cross multiply
    37,443.52x = 81,448.03 × 81,448.03
  4. Step 4: Simplify right side
    37,443.52x = 6,633,781,794.50
  5. Step 5: Solve for x
    x = 6,633,781,794.50/37,443.52
  6. Step 6: Final answer
    x = 177,167.71

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.