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Finding the Third Proportional to 6,183.56 and 13,749.19

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Solution

The third proportional to 6,183.56 and 13,749.19 is: 30,571.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,183.56 : 13,749.19 = 13,749.19 : x
  2. Step 2: Convert to fraction form
    6,183.56/13,749.19 = 13,749.19/x
  3. Step 3: Cross multiply
    6,183.56x = 13,749.19 × 13,749.19
  4. Step 4: Simplify right side
    6,183.56x = 189,040,156.91
  5. Step 5: Solve for x
    x = 189,040,156.91/6,183.56
  6. Step 6: Final answer
    x = 30,571.40

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.