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Finding the Third Proportional to 38,998.50 and 57,035.25

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Solution

The third proportional to 38,998.50 and 57,035.25 is: 83,413.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,998.50 : 57,035.25 = 57,035.25 : x
  2. Step 2: Convert to fraction form
    38,998.50/57,035.25 = 57,035.25/x
  3. Step 3: Cross multiply
    38,998.50x = 57,035.25 × 57,035.25
  4. Step 4: Simplify right side
    38,998.50x = 3,253,019,742.56
  5. Step 5: Solve for x
    x = 3,253,019,742.56/38,998.50
  6. Step 6: Final answer
    x = 83,413.97

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.