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Finding the Third Proportional to 6,915 and 10,401

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Solution

The third proportional to 6,915 and 10,401 is: 15,644.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,915 : 10,401 = 10,401 : x
  2. Step 2: Convert to fraction form
    6,915/10,401 = 10,401/x
  3. Step 3: Cross multiply
    6,915x = 10,401 × 10,401
  4. Step 4: Simplify right side
    6,915x = 108,180,801
  5. Step 5: Solve for x
    x = 108,180,801/6,915
  6. Step 6: Final answer
    x = 15,644.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.