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Finding the Third Proportional to 38,217.75 and 83,376.75

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Solution

The third proportional to 38,217.75 and 83,376.75 is: 181,896.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,217.75 : 83,376.75 = 83,376.75 : x
  2. Step 2: Convert to fraction form
    38,217.75/83,376.75 = 83,376.75/x
  3. Step 3: Cross multiply
    38,217.75x = 83,376.75 × 83,376.75
  4. Step 4: Simplify right side
    38,217.75x = 6,951,682,440.56
  5. Step 5: Solve for x
    x = 6,951,682,440.56/38,217.75
  6. Step 6: Final answer
    x = 181,896.70

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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.