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Finding the Third Proportional to 22,550 and 48,227

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Solution

The third proportional to 22,550 and 48,227 is: 103,141.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,550 : 48,227 = 48,227 : x
  2. Step 2: Convert to fraction form
    22,550/48,227 = 48,227/x
  3. Step 3: Cross multiply
    22,550x = 48,227 × 48,227
  4. Step 4: Simplify right side
    22,550x = 2,325,843,529
  5. Step 5: Solve for x
    x = 2,325,843,529/22,550
  6. Step 6: Final answer
    x = 103,141.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.