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Finding the Third Proportional to 33,735 and 73,923

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Solution

The third proportional to 33,735 and 73,923 is: 161,986.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,735 : 73,923 = 73,923 : x
  2. Step 2: Convert to fraction form
    33,735/73,923 = 73,923/x
  3. Step 3: Cross multiply
    33,735x = 73,923 × 73,923
  4. Step 4: Simplify right side
    33,735x = 5,464,609,929
  5. Step 5: Solve for x
    x = 5,464,609,929/33,735
  6. Step 6: Final answer
    x = 161,986.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.