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Finding the Third Proportional to 33,910 and 73,412

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Solution

The third proportional to 33,910 and 73,412 is: 158,930.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,910 : 73,412 = 73,412 : x
  2. Step 2: Convert to fraction form
    33,910/73,412 = 73,412/x
  3. Step 3: Cross multiply
    33,910x = 73,412 × 73,412
  4. Step 4: Simplify right side
    33,910x = 5,389,321,744
  5. Step 5: Solve for x
    x = 5,389,321,744/33,910
  6. Step 6: Final answer
    x = 158,930.16

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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.