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Finding the Third Proportional to 20,222 and 43,881

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Solution

The third proportional to 20,222 and 43,881 is: 95,220.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,222 : 43,881 = 43,881 : x
  2. Step 2: Convert to fraction form
    20,222/43,881 = 43,881/x
  3. Step 3: Cross multiply
    20,222x = 43,881 × 43,881
  4. Step 4: Simplify right side
    20,222x = 1,925,542,161
  5. Step 5: Solve for x
    x = 1,925,542,161/20,222
  6. Step 6: Final answer
    x = 95,220.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.