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Finding the Third Proportional to 22,589 and 47,721

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Solution

The third proportional to 22,589 and 47,721 is: 100,814.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,589 : 47,721 = 47,721 : x
  2. Step 2: Convert to fraction form
    22,589/47,721 = 47,721/x
  3. Step 3: Cross multiply
    22,589x = 47,721 × 47,721
  4. Step 4: Simplify right side
    22,589x = 2,277,293,841
  5. Step 5: Solve for x
    x = 2,277,293,841/22,589
  6. Step 6: Final answer
    x = 100,814.28

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.