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Finding the Third Proportional to 34,413.75 and 45,353.25

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Solution

The third proportional to 34,413.75 and 45,353.25 is: 59,770.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,413.75 : 45,353.25 = 45,353.25 : x
  2. Step 2: Convert to fraction form
    34,413.75/45,353.25 = 45,353.25/x
  3. Step 3: Cross multiply
    34,413.75x = 45,353.25 × 45,353.25
  4. Step 4: Simplify right side
    34,413.75x = 2,056,917,285.56
  5. Step 5: Solve for x
    x = 2,056,917,285.56/34,413.75
  6. Step 6: Final answer
    x = 59,770.22

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.