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Finding the Third Proportional to 10,589 and 22,741

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Solution

The third proportional to 10,589 and 22,741 is: 48,838.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589 : 22,741 = 22,741 : x
  2. Step 2: Convert to fraction form
    10,589/22,741 = 22,741/x
  3. Step 3: Cross multiply
    10,589x = 22,741 × 22,741
  4. Step 4: Simplify right side
    10,589x = 517,153,081
  5. Step 5: Solve for x
    x = 517,153,081/10,589
  6. Step 6: Final answer
    x = 48,838.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.