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Finding the Third Proportional to 36,991 and 79,893

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Solution

The third proportional to 36,991 and 79,893 is: 172,552.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,991 : 79,893 = 79,893 : x
  2. Step 2: Convert to fraction form
    36,991/79,893 = 79,893/x
  3. Step 3: Cross multiply
    36,991x = 79,893 × 79,893
  4. Step 4: Simplify right side
    36,991x = 6,382,891,449
  5. Step 5: Solve for x
    x = 6,382,891,449/36,991
  6. Step 6: Final answer
    x = 172,552.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.