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Finding the Third Proportional to 20,224 and 43,882

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Solution

The third proportional to 20,224 and 43,882 is: 95,215.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,224 : 43,882 = 43,882 : x
  2. Step 2: Convert to fraction form
    20,224/43,882 = 43,882/x
  3. Step 3: Cross multiply
    20,224x = 43,882 × 43,882
  4. Step 4: Simplify right side
    20,224x = 1,925,629,924
  5. Step 5: Solve for x
    x = 1,925,629,924/20,224
  6. Step 6: Final answer
    x = 95,215.09

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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.