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Finding the Third Proportional to 19,696 and 41,824

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Solution

The third proportional to 19,696 and 41,824 is: 88,812.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,696 : 41,824 = 41,824 : x
  2. Step 2: Convert to fraction form
    19,696/41,824 = 41,824/x
  3. Step 3: Cross multiply
    19,696x = 41,824 × 41,824
  4. Step 4: Simplify right side
    19,696x = 1,749,246,976
  5. Step 5: Solve for x
    x = 1,749,246,976/19,696
  6. Step 6: Final answer
    x = 88,812.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.