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Finding the Third Proportional to 6,824 and 7,796

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Solution

The third proportional to 6,824 and 7,796 is: 8,906.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,824 : 7,796 = 7,796 : x
  2. Step 2: Convert to fraction form
    6,824/7,796 = 7,796/x
  3. Step 3: Cross multiply
    6,824x = 7,796 × 7,796
  4. Step 4: Simplify right side
    6,824x = 60,777,616
  5. Step 5: Solve for x
    x = 60,777,616/6,824
  6. Step 6: Final answer
    x = 8,906.45

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.