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Finding the Third Proportional to 33,912 and 73,899

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Solution

The third proportional to 33,912 and 73,899 is: 161,036.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,912 : 73,899 = 73,899 : x
  2. Step 2: Convert to fraction form
    33,912/73,899 = 73,899/x
  3. Step 3: Cross multiply
    33,912x = 73,899 × 73,899
  4. Step 4: Simplify right side
    33,912x = 5,461,062,201
  5. Step 5: Solve for x
    x = 5,461,062,201/33,912
  6. Step 6: Final answer
    x = 161,036.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.