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Finding the Third Proportional to 33,684 and 70,908

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Solution

The third proportional to 33,684 and 70,908 is: 149,268.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,684 : 70,908 = 70,908 : x
  2. Step 2: Convert to fraction form
    33,684/70,908 = 70,908/x
  3. Step 3: Cross multiply
    33,684x = 70,908 × 70,908
  4. Step 4: Simplify right side
    33,684x = 5,027,944,464
  5. Step 5: Solve for x
    x = 5,027,944,464/33,684
  6. Step 6: Final answer
    x = 149,268.03

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.