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Finding the Third Proportional to 17,961 and 38,790

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Solution

The third proportional to 17,961 and 38,790 is: 83,773.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,961 : 38,790 = 38,790 : x
  2. Step 2: Convert to fraction form
    17,961/38,790 = 38,790/x
  3. Step 3: Cross multiply
    17,961x = 38,790 × 38,790
  4. Step 4: Simplify right side
    17,961x = 1,504,664,100
  5. Step 5: Solve for x
    x = 1,504,664,100/17,961
  6. Step 6: Final answer
    x = 83,773.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.