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Finding the Third Proportional to 20,696 and 29,916

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Solution

The third proportional to 20,696 and 29,916 is: 43,243.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,696 : 29,916 = 29,916 : x
  2. Step 2: Convert to fraction form
    20,696/29,916 = 29,916/x
  3. Step 3: Cross multiply
    20,696x = 29,916 × 29,916
  4. Step 4: Simplify right side
    20,696x = 894,967,056
  5. Step 5: Solve for x
    x = 894,967,056/20,696
  6. Step 6: Final answer
    x = 43,243.48

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.