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Finding the Third Proportional to 33,041 and 71,463

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Solution

The third proportional to 33,041 and 71,463 is: 154,564.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,041 : 71,463 = 71,463 : x
  2. Step 2: Convert to fraction form
    33,041/71,463 = 71,463/x
  3. Step 3: Cross multiply
    33,041x = 71,463 × 71,463
  4. Step 4: Simplify right side
    33,041x = 5,106,960,369
  5. Step 5: Solve for x
    x = 5,106,960,369/33,041
  6. Step 6: Final answer
    x = 154,564.34

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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.