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Finding the Third Proportional to 22,729 and 49,589

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Solution

The third proportional to 22,729 and 49,589 is: 108,190.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,729 : 49,589 = 49,589 : x
  2. Step 2: Convert to fraction form
    22,729/49,589 = 49,589/x
  3. Step 3: Cross multiply
    22,729x = 49,589 × 49,589
  4. Step 4: Simplify right side
    22,729x = 2,459,068,921
  5. Step 5: Solve for x
    x = 2,459,068,921/22,729
  6. Step 6: Final answer
    x = 108,190.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.