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Finding the Third Proportional to 6,697 and 14,401

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Solution

The third proportional to 6,697 and 14,401 is: 30,967.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,697 : 14,401 = 14,401 : x
  2. Step 2: Convert to fraction form
    6,697/14,401 = 14,401/x
  3. Step 3: Cross multiply
    6,697x = 14,401 × 14,401
  4. Step 4: Simplify right side
    6,697x = 207,388,801
  5. Step 5: Solve for x
    x = 207,388,801/6,697
  6. Step 6: Final answer
    x = 30,967.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.