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Finding the Third Proportional to 33,411 and 71,844

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Solution

The third proportional to 33,411 and 71,844 is: 154,486.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,411 : 71,844 = 71,844 : x
  2. Step 2: Convert to fraction form
    33,411/71,844 = 71,844/x
  3. Step 3: Cross multiply
    33,411x = 71,844 × 71,844
  4. Step 4: Simplify right side
    33,411x = 5,161,560,336
  5. Step 5: Solve for x
    x = 5,161,560,336/33,411
  6. Step 6: Final answer
    x = 154,486.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.