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Finding the Third Proportional to 17,991 and 38,027.25

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Solution

The third proportional to 17,991 and 38,027.25 is: 80,377.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,991 : 38,027.25 = 38,027.25 : x
  2. Step 2: Convert to fraction form
    17,991/38,027.25 = 38,027.25/x
  3. Step 3: Cross multiply
    17,991x = 38,027.25 × 38,027.25
  4. Step 4: Simplify right side
    17,991x = 1,446,071,742.56
  5. Step 5: Solve for x
    x = 1,446,071,742.56/17,991
  6. Step 6: Final answer
    x = 80,377.51

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.