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Finding the Third Proportional to 36,992 and 79,816

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Solution

The third proportional to 36,992 and 79,816 is: 172,215.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,992 : 79,816 = 79,816 : x
  2. Step 2: Convert to fraction form
    36,992/79,816 = 79,816/x
  3. Step 3: Cross multiply
    36,992x = 79,816 × 79,816
  4. Step 4: Simplify right side
    36,992x = 6,370,593,856
  5. Step 5: Solve for x
    x = 6,370,593,856/36,992
  6. Step 6: Final answer
    x = 172,215.45

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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.