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Finding the Third Proportional to 22,093 and 47,162

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Solution

The third proportional to 22,093 and 47,162 is: 100,676.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,093 : 47,162 = 47,162 : x
  2. Step 2: Convert to fraction form
    22,093/47,162 = 47,162/x
  3. Step 3: Cross multiply
    22,093x = 47,162 × 47,162
  4. Step 4: Simplify right side
    22,093x = 2,224,254,244
  5. Step 5: Solve for x
    x = 2,224,254,244/22,093
  6. Step 6: Final answer
    x = 100,676.88

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.