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Finding the Third Proportional to 5,401 and 8,383

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Solution

The third proportional to 5,401 and 8,383 is: 13,011.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,401 : 8,383 = 8,383 : x
  2. Step 2: Convert to fraction form
    5,401/8,383 = 8,383/x
  3. Step 3: Cross multiply
    5,401x = 8,383 × 8,383
  4. Step 4: Simplify right side
    5,401x = 70,274,689
  5. Step 5: Solve for x
    x = 70,274,689/5,401
  6. Step 6: Final answer
    x = 13,011.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.