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Finding the Third Proportional to 3,823 and 7,885

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Solution

The third proportional to 3,823 and 7,885 is: 16,262.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,823 : 7,885 = 7,885 : x
  2. Step 2: Convert to fraction form
    3,823/7,885 = 7,885/x
  3. Step 3: Cross multiply
    3,823x = 7,885 × 7,885
  4. Step 4: Simplify right side
    3,823x = 62,173,225
  5. Step 5: Solve for x
    x = 62,173,225/3,823
  6. Step 6: Final answer
    x = 16,262.94

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.