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Finding the Third Proportional to 3,834 and 5,425

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Solution

The third proportional to 3,834 and 5,425 is: 7,676.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834 : 5,425 = 5,425 : x
  2. Step 2: Convert to fraction form
    3,834/5,425 = 5,425/x
  3. Step 3: Cross multiply
    3,834x = 5,425 × 5,425
  4. Step 4: Simplify right side
    3,834x = 29,430,625
  5. Step 5: Solve for x
    x = 29,430,625/3,834
  6. Step 6: Final answer
    x = 7,676.22

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.