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Finding the Third Proportional to 6,183.56 and 12,663.56

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Solution

The third proportional to 6,183.56 and 12,663.56 is: 25,934.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,183.56 : 12,663.56 = 12,663.56 : x
  2. Step 2: Convert to fraction form
    6,183.56/12,663.56 = 12,663.56/x
  3. Step 3: Cross multiply
    6,183.56x = 12,663.56 × 12,663.56
  4. Step 4: Simplify right side
    6,183.56x = 160,365,815.19
  5. Step 5: Solve for x
    x = 160,365,815.19/6,183.56
  6. Step 6: Final answer
    x = 25,934.21

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.