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Finding the Third Proportional to 7,976 and 16,824

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Solution

The third proportional to 7,976 and 16,824 is: 35,487.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,976 : 16,824 = 16,824 : x
  2. Step 2: Convert to fraction form
    7,976/16,824 = 16,824/x
  3. Step 3: Cross multiply
    7,976x = 16,824 × 16,824
  4. Step 4: Simplify right side
    7,976x = 283,046,976
  5. Step 5: Solve for x
    x = 283,046,976/7,976
  6. Step 6: Final answer
    x = 35,487.33

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.