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Finding the Third Proportional to 4,589 and 6,451

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Solution

The third proportional to 4,589 and 6,451 is: 9,068.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,589 : 6,451 = 6,451 : x
  2. Step 2: Convert to fraction form
    4,589/6,451 = 6,451/x
  3. Step 3: Cross multiply
    4,589x = 6,451 × 6,451
  4. Step 4: Simplify right side
    4,589x = 41,615,401
  5. Step 5: Solve for x
    x = 41,615,401/4,589
  6. Step 6: Final answer
    x = 9,068.51

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.