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Finding the Third Proportional to 33,957 and 75,690

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Solution

The third proportional to 33,957 and 75,690 is: 168,712.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,957 : 75,690 = 75,690 : x
  2. Step 2: Convert to fraction form
    33,957/75,690 = 75,690/x
  3. Step 3: Cross multiply
    33,957x = 75,690 × 75,690
  4. Step 4: Simplify right side
    33,957x = 5,728,976,100
  5. Step 5: Solve for x
    x = 5,728,976,100/33,957
  6. Step 6: Final answer
    x = 168,712.67

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.