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Finding the Third Proportional to 2,937.25 and 6,401

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Solution

The third proportional to 2,937.25 and 6,401 is: 13,949.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,937.25 : 6,401 = 6,401 : x
  2. Step 2: Convert to fraction form
    2,937.25/6,401 = 6,401/x
  3. Step 3: Cross multiply
    2,937.25x = 6,401 × 6,401
  4. Step 4: Simplify right side
    2,937.25x = 40,972,801
  5. Step 5: Solve for x
    x = 40,972,801/2,937.25
  6. Step 6: Final answer
    x = 13,949.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.