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Finding the Third Proportional to 6,430 and 8,401

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Solution

The third proportional to 6,430 and 8,401 is: 10,976.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430 : 8,401 = 8,401 : x
  2. Step 2: Convert to fraction form
    6,430/8,401 = 8,401/x
  3. Step 3: Cross multiply
    6,430x = 8,401 × 8,401
  4. Step 4: Simplify right side
    6,430x = 70,576,801
  5. Step 5: Solve for x
    x = 70,576,801/6,430
  6. Step 6: Final answer
    x = 10,976.17

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.