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Finding the Third Proportional to 33,971 and 79,933

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Solution

The third proportional to 33,971 and 79,933 is: 188,080.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,971 : 79,933 = 79,933 : x
  2. Step 2: Convert to fraction form
    33,971/79,933 = 79,933/x
  3. Step 3: Cross multiply
    33,971x = 79,933 × 79,933
  4. Step 4: Simplify right side
    33,971x = 6,389,284,489
  5. Step 5: Solve for x
    x = 6,389,284,489/33,971
  6. Step 6: Final answer
    x = 188,080.55

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.