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Finding the Third Proportional to 38,378.25 and 58,163.63

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Solution

The third proportional to 38,378.25 and 58,163.63 is: 88,149.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,378.25 : 58,163.63 = 58,163.63 : x
  2. Step 2: Convert to fraction form
    38,378.25/58,163.63 = 58,163.63/x
  3. Step 3: Cross multiply
    38,378.25x = 58,163.63 × 58,163.63
  4. Step 4: Simplify right side
    38,378.25x = 3,383,007,273.14
  5. Step 5: Solve for x
    x = 3,383,007,273.14/38,378.25
  6. Step 6: Final answer
    x = 88,149.08

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.