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Finding the Third Proportional to 33,429 and 67,405

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Solution

The third proportional to 33,429 and 67,405 is: 135,912.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,429 : 67,405 = 67,405 : x
  2. Step 2: Convert to fraction form
    33,429/67,405 = 67,405/x
  3. Step 3: Cross multiply
    33,429x = 67,405 × 67,405
  4. Step 4: Simplify right side
    33,429x = 4,543,434,025
  5. Step 5: Solve for x
    x = 4,543,434,025/33,429
  6. Step 6: Final answer
    x = 135,912.95

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.