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Finding the Third Proportional to 33,016 and 71,165

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Solution

The third proportional to 33,016 and 71,165 is: 153,394.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,016 : 71,165 = 71,165 : x
  2. Step 2: Convert to fraction form
    33,016/71,165 = 71,165/x
  3. Step 3: Cross multiply
    33,016x = 71,165 × 71,165
  4. Step 4: Simplify right side
    33,016x = 5,064,457,225
  5. Step 5: Solve for x
    x = 5,064,457,225/33,016
  6. Step 6: Final answer
    x = 153,394.03

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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.