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Finding the Third Proportional to 17,183.50 and 36,617

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Solution

The third proportional to 17,183.50 and 36,617 is: 78,028.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,183.50 : 36,617 = 36,617 : x
  2. Step 2: Convert to fraction form
    17,183.50/36,617 = 36,617/x
  3. Step 3: Cross multiply
    17,183.50x = 36,617 × 36,617
  4. Step 4: Simplify right side
    17,183.50x = 1,340,804,689
  5. Step 5: Solve for x
    x = 1,340,804,689/17,183.50
  6. Step 6: Final answer
    x = 78,028.61

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.