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Finding the Third Proportional to 3,286 and 4,801

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Solution

The third proportional to 3,286 and 4,801 is: 7,014.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286 : 4,801 = 4,801 : x
  2. Step 2: Convert to fraction form
    3,286/4,801 = 4,801/x
  3. Step 3: Cross multiply
    3,286x = 4,801 × 4,801
  4. Step 4: Simplify right side
    3,286x = 23,049,601
  5. Step 5: Solve for x
    x = 23,049,601/3,286
  6. Step 6: Final answer
    x = 7,014.49

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.