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Finding the Third Proportional to 33,923 and 73,683

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Solution

The third proportional to 33,923 and 73,683 is: 160,044.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,923 : 73,683 = 73,683 : x
  2. Step 2: Convert to fraction form
    33,923/73,683 = 73,683/x
  3. Step 3: Cross multiply
    33,923x = 73,683 × 73,683
  4. Step 4: Simplify right side
    33,923x = 5,429,184,489
  5. Step 5: Solve for x
    x = 5,429,184,489/33,923
  6. Step 6: Final answer
    x = 160,044.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.