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Finding the Third Proportional to 33,435 and 69,671

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Solution

The third proportional to 33,435 and 69,671 is: 145,178.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,435 : 69,671 = 69,671 : x
  2. Step 2: Convert to fraction form
    33,435/69,671 = 69,671/x
  3. Step 3: Cross multiply
    33,435x = 69,671 × 69,671
  4. Step 4: Simplify right side
    33,435x = 4,854,048,241
  5. Step 5: Solve for x
    x = 4,854,048,241/33,435
  6. Step 6: Final answer
    x = 145,178.65

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.