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Finding the Third Proportional to 33,988 and 79,966

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Solution

The third proportional to 33,988 and 79,966 is: 188,141.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,988 : 79,966 = 79,966 : x
  2. Step 2: Convert to fraction form
    33,988/79,966 = 79,966/x
  3. Step 3: Cross multiply
    33,988x = 79,966 × 79,966
  4. Step 4: Simplify right side
    33,988x = 6,394,561,156
  5. Step 5: Solve for x
    x = 6,394,561,156/33,988
  6. Step 6: Final answer
    x = 188,141.73

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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.