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Finding the Third Proportional to 16,741.69 and 18,321.19

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Solution

The third proportional to 16,741.69 and 18,321.19 is: 20,049.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,741.69 : 18,321.19 = 18,321.19 : x
  2. Step 2: Convert to fraction form
    16,741.69/18,321.19 = 18,321.19/x
  3. Step 3: Cross multiply
    16,741.69x = 18,321.19 × 18,321.19
  4. Step 4: Simplify right side
    16,741.69x = 335,665,911.41
  5. Step 5: Solve for x
    x = 335,665,911.41/16,741.69
  6. Step 6: Final answer
    x = 20,049.71

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.