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Finding the Third Proportional to 20,589 and 43,331

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Solution

The third proportional to 20,589 and 43,331 is: 91,193.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,589 : 43,331 = 43,331 : x
  2. Step 2: Convert to fraction form
    20,589/43,331 = 43,331/x
  3. Step 3: Cross multiply
    20,589x = 43,331 × 43,331
  4. Step 4: Simplify right side
    20,589x = 1,877,575,561
  5. Step 5: Solve for x
    x = 1,877,575,561/20,589
  6. Step 6: Final answer
    x = 91,193.14

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.