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Finding the Third Proportional to 36,980 and 79,792

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Solution

The third proportional to 36,980 and 79,792 is: 172,167.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,980 : 79,792 = 79,792 : x
  2. Step 2: Convert to fraction form
    36,980/79,792 = 79,792/x
  3. Step 3: Cross multiply
    36,980x = 79,792 × 79,792
  4. Step 4: Simplify right side
    36,980x = 6,366,763,264
  5. Step 5: Solve for x
    x = 6,366,763,264/36,980
  6. Step 6: Final answer
    x = 172,167.75

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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.