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Finding the Third Proportional to 6,183.84 and 8,296.17

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Solution

The third proportional to 6,183.84 and 8,296.17 is: 11,130.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,183.84 : 8,296.17 = 8,296.17 : x
  2. Step 2: Convert to fraction form
    6,183.84/8,296.17 = 8,296.17/x
  3. Step 3: Cross multiply
    6,183.84x = 8,296.17 × 8,296.17
  4. Step 4: Simplify right side
    6,183.84x = 68,826,467.78
  5. Step 5: Solve for x
    x = 68,826,467.78/6,183.84
  6. Step 6: Final answer
    x = 11,130.05

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.