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Finding the Third Proportional to 17,961.75 and 38,366.25

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Solution

The third proportional to 17,961.75 and 38,366.25 is: 81,950.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,961.75 : 38,366.25 = 38,366.25 : x
  2. Step 2: Convert to fraction form
    17,961.75/38,366.25 = 38,366.25/x
  3. Step 3: Cross multiply
    17,961.75x = 38,366.25 × 38,366.25
  4. Step 4: Simplify right side
    17,961.75x = 1,471,969,139.06
  5. Step 5: Solve for x
    x = 1,471,969,139.06/17,961.75
  6. Step 6: Final answer
    x = 81,950.21

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.