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Finding the Third Proportional to 4,406 and 10,401

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Solution

The third proportional to 4,406 and 10,401 is: 24,553.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,406 : 10,401 = 10,401 : x
  2. Step 2: Convert to fraction form
    4,406/10,401 = 10,401/x
  3. Step 3: Cross multiply
    4,406x = 10,401 × 10,401
  4. Step 4: Simplify right side
    4,406x = 108,180,801
  5. Step 5: Solve for x
    x = 108,180,801/4,406
  6. Step 6: Final answer
    x = 24,553.06

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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.