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Finding the Third Proportional to 15,904 and 33,864

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Solution

The third proportional to 15,904 and 33,864 is: 72,105.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,904 : 33,864 = 33,864 : x
  2. Step 2: Convert to fraction form
    15,904/33,864 = 33,864/x
  3. Step 3: Cross multiply
    15,904x = 33,864 × 33,864
  4. Step 4: Simplify right side
    15,904x = 1,146,770,496
  5. Step 5: Solve for x
    x = 1,146,770,496/15,904
  6. Step 6: Final answer
    x = 72,105.79

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.