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Finding the Third Proportional to 33,384 and 38,676

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Solution

The third proportional to 33,384 and 38,676 is: 44,806.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,384 : 38,676 = 38,676 : x
  2. Step 2: Convert to fraction form
    33,384/38,676 = 38,676/x
  3. Step 3: Cross multiply
    33,384x = 38,676 × 38,676
  4. Step 4: Simplify right side
    33,384x = 1,495,832,976
  5. Step 5: Solve for x
    x = 1,495,832,976/33,384
  6. Step 6: Final answer
    x = 44,806.88

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.