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Finding the Third Proportional to 38,252.25 and 59,163.75

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Solution

The third proportional to 38,252.25 and 59,163.75 is: 91,507.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,252.25 : 59,163.75 = 59,163.75 : x
  2. Step 2: Convert to fraction form
    38,252.25/59,163.75 = 59,163.75/x
  3. Step 3: Cross multiply
    38,252.25x = 59,163.75 × 59,163.75
  4. Step 4: Simplify right side
    38,252.25x = 3,500,349,314.06
  5. Step 5: Solve for x
    x = 3,500,349,314.06/38,252.25
  6. Step 6: Final answer
    x = 91,507.02

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.