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Finding the Third Proportional to 3,823 and 7,993

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Solution

The third proportional to 3,823 and 7,993 is: 16,711.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,823 : 7,993 = 7,993 : x
  2. Step 2: Convert to fraction form
    3,823/7,993 = 7,993/x
  3. Step 3: Cross multiply
    3,823x = 7,993 × 7,993
  4. Step 4: Simplify right side
    3,823x = 63,888,049
  5. Step 5: Solve for x
    x = 63,888,049/3,823
  6. Step 6: Final answer
    x = 16,711.50

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.