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Finding the Third Proportional to 29,238 and 44,227

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Solution

The third proportional to 29,238 and 44,227 is: 66,900.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,238 : 44,227 = 44,227 : x
  2. Step 2: Convert to fraction form
    29,238/44,227 = 44,227/x
  3. Step 3: Cross multiply
    29,238x = 44,227 × 44,227
  4. Step 4: Simplify right side
    29,238x = 1,956,027,529
  5. Step 5: Solve for x
    x = 1,956,027,529/29,238
  6. Step 6: Final answer
    x = 66,900.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.