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Finding the Third Proportional to 29,325 and 57,183

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Solution

The third proportional to 29,325 and 57,183 is: 111,505.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,325 : 57,183 = 57,183 : x
  2. Step 2: Convert to fraction form
    29,325/57,183 = 57,183/x
  3. Step 3: Cross multiply
    29,325x = 57,183 × 57,183
  4. Step 4: Simplify right side
    29,325x = 3,269,895,489
  5. Step 5: Solve for x
    x = 3,269,895,489/29,325
  6. Step 6: Final answer
    x = 111,505.39

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.