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Finding the Third Proportional to 33,904 and 49,317

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Solution

The third proportional to 33,904 and 49,317 is: 71,736.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,904 : 49,317 = 49,317 : x
  2. Step 2: Convert to fraction form
    33,904/49,317 = 49,317/x
  3. Step 3: Cross multiply
    33,904x = 49,317 × 49,317
  4. Step 4: Simplify right side
    33,904x = 2,432,166,489
  5. Step 5: Solve for x
    x = 2,432,166,489/33,904
  6. Step 6: Final answer
    x = 71,736.86

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.