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Finding the Third Proportional to 17,568.62 and 37,174.73

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Solution

The third proportional to 17,568.62 and 37,174.73 is: 78,660.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,568.62 : 37,174.73 = 37,174.73 : x
  2. Step 2: Convert to fraction form
    17,568.62/37,174.73 = 37,174.73/x
  3. Step 3: Cross multiply
    17,568.62x = 37,174.73 × 37,174.73
  4. Step 4: Simplify right side
    17,568.62x = 1,381,960,440.21
  5. Step 5: Solve for x
    x = 1,381,960,440.21/17,568.62
  6. Step 6: Final answer
    x = 78,660.75

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.