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Finding the Third Proportional to 13,764 and 20,589

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Solution

The third proportional to 13,764 and 20,589 is: 30,798.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,764 : 20,589 = 20,589 : x
  2. Step 2: Convert to fraction form
    13,764/20,589 = 20,589/x
  3. Step 3: Cross multiply
    13,764x = 20,589 × 20,589
  4. Step 4: Simplify right side
    13,764x = 423,906,921
  5. Step 5: Solve for x
    x = 423,906,921/13,764
  6. Step 6: Final answer
    x = 30,798.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.