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Finding the Third Proportional to 9,589 and 20,512

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Solution

The third proportional to 9,589 and 20,512 is: 43,877.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589 : 20,512 = 20,512 : x
  2. Step 2: Convert to fraction form
    9,589/20,512 = 20,512/x
  3. Step 3: Cross multiply
    9,589x = 20,512 × 20,512
  4. Step 4: Simplify right side
    9,589x = 420,742,144
  5. Step 5: Solve for x
    x = 420,742,144/9,589
  6. Step 6: Final answer
    x = 43,877.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.