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Finding the Third Proportional to 6,796 and 11,984

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Solution

The third proportional to 6,796 and 11,984 is: 21,132.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,796 : 11,984 = 11,984 : x
  2. Step 2: Convert to fraction form
    6,796/11,984 = 11,984/x
  3. Step 3: Cross multiply
    6,796x = 11,984 × 11,984
  4. Step 4: Simplify right side
    6,796x = 143,616,256
  5. Step 5: Solve for x
    x = 143,616,256/6,796
  6. Step 6: Final answer
    x = 21,132.47

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.