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Finding the Third Proportional to 20,224 and 41,272

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Solution

The third proportional to 20,224 and 41,272 is: 84,225.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,224 : 41,272 = 41,272 : x
  2. Step 2: Convert to fraction form
    20,224/41,272 = 41,272/x
  3. Step 3: Cross multiply
    20,224x = 41,272 × 41,272
  4. Step 4: Simplify right side
    20,224x = 1,703,377,984
  5. Step 5: Solve for x
    x = 1,703,377,984/20,224
  6. Step 6: Final answer
    x = 84,225.57

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.