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Finding the Third Proportional to 33,872 and 77,904

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Solution

The third proportional to 33,872 and 77,904 is: 179,175.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,872 : 77,904 = 77,904 : x
  2. Step 2: Convert to fraction form
    33,872/77,904 = 77,904/x
  3. Step 3: Cross multiply
    33,872x = 77,904 × 77,904
  4. Step 4: Simplify right side
    33,872x = 6,069,033,216
  5. Step 5: Solve for x
    x = 6,069,033,216/33,872
  6. Step 6: Final answer
    x = 179,175.52

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.