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Finding the Third Proportional to 5,183.16 and 8,108.44

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Solution

The third proportional to 5,183.16 and 8,108.44 is: 12,684.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,183.16 : 8,108.44 = 8,108.44 : x
  2. Step 2: Convert to fraction form
    5,183.16/8,108.44 = 8,108.44/x
  3. Step 3: Cross multiply
    5,183.16x = 8,108.44 × 8,108.44
  4. Step 4: Simplify right side
    5,183.16x = 65,746,758.69
  5. Step 5: Solve for x
    x = 65,746,758.69/5,183.16
  6. Step 6: Final answer
    x = 12,684.70

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.