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Finding the Third Proportional to 3,906 and 9,234

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Solution

The third proportional to 3,906 and 9,234 is: 21,829.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906 : 9,234 = 9,234 : x
  2. Step 2: Convert to fraction form
    3,906/9,234 = 9,234/x
  3. Step 3: Cross multiply
    3,906x = 9,234 × 9,234
  4. Step 4: Simplify right side
    3,906x = 85,266,756
  5. Step 5: Solve for x
    x = 85,266,756/3,906
  6. Step 6: Final answer
    x = 21,829.69

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.