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Finding the Third Proportional to 37,079.16 and 76,786.73

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Solution

The third proportional to 37,079.16 and 76,786.73 is: 159,016.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,079.16 : 76,786.73 = 76,786.73 : x
  2. Step 2: Convert to fraction form
    37,079.16/76,786.73 = 76,786.73/x
  3. Step 3: Cross multiply
    37,079.16x = 76,786.73 × 76,786.73
  4. Step 4: Simplify right side
    37,079.16x = 5,896,202,575.98
  5. Step 5: Solve for x
    x = 5,896,202,575.98/37,079.16
  6. Step 6: Final answer
    x = 159,016.63

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.