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Finding the Third Proportional to 17,696 and 38,676

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Solution

The third proportional to 17,696 and 38,676 is: 84,529.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,696 : 38,676 = 38,676 : x
  2. Step 2: Convert to fraction form
    17,696/38,676 = 38,676/x
  3. Step 3: Cross multiply
    17,696x = 38,676 × 38,676
  4. Step 4: Simplify right side
    17,696x = 1,495,832,976
  5. Step 5: Solve for x
    x = 1,495,832,976/17,696
  6. Step 6: Final answer
    x = 84,529.44

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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.