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Finding the Third Proportional to 33,997 and 47,790

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Solution

The third proportional to 33,997 and 47,790 is: 67,178.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,997 : 47,790 = 47,790 : x
  2. Step 2: Convert to fraction form
    33,997/47,790 = 47,790/x
  3. Step 3: Cross multiply
    33,997x = 47,790 × 47,790
  4. Step 4: Simplify right side
    33,997x = 2,283,884,100
  5. Step 5: Solve for x
    x = 2,283,884,100/33,997
  6. Step 6: Final answer
    x = 67,178.99

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.