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Finding the Third Proportional to 33,825 and 72,690

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Solution

The third proportional to 33,825 and 72,690 is: 156,210.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,825 : 72,690 = 72,690 : x
  2. Step 2: Convert to fraction form
    33,825/72,690 = 72,690/x
  3. Step 3: Cross multiply
    33,825x = 72,690 × 72,690
  4. Step 4: Simplify right side
    33,825x = 5,283,836,100
  5. Step 5: Solve for x
    x = 5,283,836,100/33,825
  6. Step 6: Final answer
    x = 156,210.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.