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Finding the Third Proportional to 5,401 and 6,589

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Solution

The third proportional to 5,401 and 6,589 is: 8,038.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,401 : 6,589 = 6,589 : x
  2. Step 2: Convert to fraction form
    5,401/6,589 = 6,589/x
  3. Step 3: Cross multiply
    5,401x = 6,589 × 6,589
  4. Step 4: Simplify right side
    5,401x = 43,414,921
  5. Step 5: Solve for x
    x = 43,414,921/5,401
  6. Step 6: Final answer
    x = 8,038.31

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.