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Finding the Third Proportional to 33,906 and 52,923

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Solution

The third proportional to 33,906 and 52,923 is: 82,606.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,906 : 52,923 = 52,923 : x
  2. Step 2: Convert to fraction form
    33,906/52,923 = 52,923/x
  3. Step 3: Cross multiply
    33,906x = 52,923 × 52,923
  4. Step 4: Simplify right side
    33,906x = 2,800,843,929
  5. Step 5: Solve for x
    x = 2,800,843,929/33,906
  6. Step 6: Final answer
    x = 82,606.14

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.