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Finding the Third Proportional to 33,966.75 and 73,401

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Solution

The third proportional to 33,966.75 and 73,401 is: 158,617.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,966.75 : 73,401 = 73,401 : x
  2. Step 2: Convert to fraction form
    33,966.75/73,401 = 73,401/x
  3. Step 3: Cross multiply
    33,966.75x = 73,401 × 73,401
  4. Step 4: Simplify right side
    33,966.75x = 5,387,706,801
  5. Step 5: Solve for x
    x = 5,387,706,801/33,966.75
  6. Step 6: Final answer
    x = 158,617.08

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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.