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Finding the Third Proportional to 36,904 and 79,924

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Solution

The third proportional to 36,904 and 79,924 is: 173,093.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,904 : 79,924 = 79,924 : x
  2. Step 2: Convert to fraction form
    36,904/79,924 = 79,924/x
  3. Step 3: Cross multiply
    36,904x = 79,924 × 79,924
  4. Step 4: Simplify right side
    36,904x = 6,387,845,776
  5. Step 5: Solve for x
    x = 6,387,845,776/36,904
  6. Step 6: Final answer
    x = 173,093.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.