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Finding the Third Proportional to 11,589 and 12,777

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Solution

The third proportional to 11,589 and 12,777 is: 14,086.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,589 : 12,777 = 12,777 : x
  2. Step 2: Convert to fraction form
    11,589/12,777 = 12,777/x
  3. Step 3: Cross multiply
    11,589x = 12,777 × 12,777
  4. Step 4: Simplify right side
    11,589x = 163,251,729
  5. Step 5: Solve for x
    x = 163,251,729/11,589
  6. Step 6: Final answer
    x = 14,086.78

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.