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Finding the Third Proportional to 9,183.69 and 13,739.94

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Solution

The third proportional to 9,183.69 and 13,739.94 is: 20,556.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,183.69 : 13,739.94 = 13,739.94 : x
  2. Step 2: Convert to fraction form
    9,183.69/13,739.94 = 13,739.94/x
  3. Step 3: Cross multiply
    9,183.69x = 13,739.94 × 13,739.94
  4. Step 4: Simplify right side
    9,183.69x = 188,785,989.85
  5. Step 5: Solve for x
    x = 188,785,989.85/9,183.69
  6. Step 6: Final answer
    x = 20,556.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.