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Finding the Third Proportional to 17,344.50 and 37,319.25

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Solution

The third proportional to 17,344.50 and 37,319.25 is: 80,297.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,344.50 : 37,319.25 = 37,319.25 : x
  2. Step 2: Convert to fraction form
    17,344.50/37,319.25 = 37,319.25/x
  3. Step 3: Cross multiply
    17,344.50x = 37,319.25 × 37,319.25
  4. Step 4: Simplify right side
    17,344.50x = 1,392,726,420.56
  5. Step 5: Solve for x
    x = 1,392,726,420.56/17,344.50
  6. Step 6: Final answer
    x = 80,297.87

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.