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Finding the Third Proportional to 18,992 and 41,656

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Solution

The third proportional to 18,992 and 41,656 is: 91,365.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,992 : 41,656 = 41,656 : x
  2. Step 2: Convert to fraction form
    18,992/41,656 = 41,656/x
  3. Step 3: Cross multiply
    18,992x = 41,656 × 41,656
  4. Step 4: Simplify right side
    18,992x = 1,735,222,336
  5. Step 5: Solve for x
    x = 1,735,222,336/18,992
  6. Step 6: Final answer
    x = 91,365.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.