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Finding the Third Proportional to 33,868 and 73,304

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Solution

The third proportional to 33,868 and 73,304 is: 158,659.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,868 : 73,304 = 73,304 : x
  2. Step 2: Convert to fraction form
    33,868/73,304 = 73,304/x
  3. Step 3: Cross multiply
    33,868x = 73,304 × 73,304
  4. Step 4: Simplify right side
    33,868x = 5,373,476,416
  5. Step 5: Solve for x
    x = 5,373,476,416/33,868
  6. Step 6: Final answer
    x = 158,659.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.