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Finding the Third Proportional to 3,821 and 3,821

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Solution

The third proportional to 3,821 and 3,821 is: 3,821

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,821 : 3,821 = 3,821 : x
  2. Step 2: Convert to fraction form
    3,821/3,821 = 3,821/x
  3. Step 3: Cross multiply
    3,821x = 3,821 × 3,821
  4. Step 4: Simplify right side
    3,821x = 14,600,041
  5. Step 5: Solve for x
    x = 14,600,041/3,821
  6. Step 6: Final answer
    x = 3,821

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Why These Related Problems?

These problems maintain the same ratio (1) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.