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Finding the Third Proportional to 33,816 and 78,992

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Solution

The third proportional to 33,816 and 78,992 is: 184,520.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,816 : 78,992 = 78,992 : x
  2. Step 2: Convert to fraction form
    33,816/78,992 = 78,992/x
  3. Step 3: Cross multiply
    33,816x = 78,992 × 78,992
  4. Step 4: Simplify right side
    33,816x = 6,239,736,064
  5. Step 5: Solve for x
    x = 6,239,736,064/33,816
  6. Step 6: Final answer
    x = 184,520.23

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.