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Finding the Third Proportional to 41,696 and 86,832

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Solution

The third proportional to 41,696 and 86,832 is: 180,827.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,696 : 86,832 = 86,832 : x
  2. Step 2: Convert to fraction form
    41,696/86,832 = 86,832/x
  3. Step 3: Cross multiply
    41,696x = 86,832 × 86,832
  4. Step 4: Simplify right side
    41,696x = 7,539,796,224
  5. Step 5: Solve for x
    x = 7,539,796,224/41,696
  6. Step 6: Final answer
    x = 180,827.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.