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Finding the Third Proportional to 20,499 and 44,227

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Solution

The third proportional to 20,499 and 44,227 is: 95,420.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,499 : 44,227 = 44,227 : x
  2. Step 2: Convert to fraction form
    20,499/44,227 = 44,227/x
  3. Step 3: Cross multiply
    20,499x = 44,227 × 44,227
  4. Step 4: Simplify right side
    20,499x = 1,956,027,529
  5. Step 5: Solve for x
    x = 1,956,027,529/20,499
  6. Step 6: Final answer
    x = 95,420.63

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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.