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Finding the Third Proportional to 5,108.06 and 6,183.84

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Solution

The third proportional to 5,108.06 and 6,183.84 is: 7,486.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,108.06 : 6,183.84 = 6,183.84 : x
  2. Step 2: Convert to fraction form
    5,108.06/6,183.84 = 6,183.84/x
  3. Step 3: Cross multiply
    5,108.06x = 6,183.84 × 6,183.84
  4. Step 4: Simplify right side
    5,108.06x = 38,239,923.52
  5. Step 5: Solve for x
    x = 38,239,923.52/5,108.06
  6. Step 6: Final answer
    x = 7,486.19

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.