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Finding the Third Proportional to 33,999 and 73,647

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Solution

The third proportional to 33,999 and 73,647 is: 159,530.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,999 : 73,647 = 73,647 : x
  2. Step 2: Convert to fraction form
    33,999/73,647 = 73,647/x
  3. Step 3: Cross multiply
    33,999x = 73,647 × 73,647
  4. Step 4: Simplify right side
    33,999x = 5,423,880,609
  5. Step 5: Solve for x
    x = 5,423,880,609/33,999
  6. Step 6: Final answer
    x = 159,530.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.