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Finding the Third Proportional to 20,227 and 43,742

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Solution

The third proportional to 20,227 and 43,742 is: 94,594.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,227 : 43,742 = 43,742 : x
  2. Step 2: Convert to fraction form
    20,227/43,742 = 43,742/x
  3. Step 3: Cross multiply
    20,227x = 43,742 × 43,742
  4. Step 4: Simplify right side
    20,227x = 1,913,362,564
  5. Step 5: Solve for x
    x = 1,913,362,564/20,227
  6. Step 6: Final answer
    x = 94,594.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.