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Finding the Third Proportional to 22,274 and 48,182

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Solution

The third proportional to 22,274 and 48,182 is: 104,224.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,274 : 48,182 = 48,182 : x
  2. Step 2: Convert to fraction form
    22,274/48,182 = 48,182/x
  3. Step 3: Cross multiply
    22,274x = 48,182 × 48,182
  4. Step 4: Simplify right side
    22,274x = 2,321,505,124
  5. Step 5: Solve for x
    x = 2,321,505,124/22,274
  6. Step 6: Final answer
    x = 104,224.89

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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.