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Finding the Third Proportional to 33,976 and 51,940

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Solution

The third proportional to 33,976 and 51,940 is: 79,402.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,976 : 51,940 = 51,940 : x
  2. Step 2: Convert to fraction form
    33,976/51,940 = 51,940/x
  3. Step 3: Cross multiply
    33,976x = 51,940 × 51,940
  4. Step 4: Simplify right side
    33,976x = 2,697,763,600
  5. Step 5: Solve for x
    x = 2,697,763,600/33,976
  6. Step 6: Final answer
    x = 79,402.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.