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Finding the Third Proportional to 33,533 and 69,817

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Solution

The third proportional to 33,533 and 69,817 is: 145,361.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,533 : 69,817 = 69,817 : x
  2. Step 2: Convert to fraction form
    33,533/69,817 = 69,817/x
  3. Step 3: Cross multiply
    33,533x = 69,817 × 69,817
  4. Step 4: Simplify right side
    33,533x = 4,874,413,489
  5. Step 5: Solve for x
    x = 4,874,413,489/33,533
  6. Step 6: Final answer
    x = 145,361.69

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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.