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Finding the Third Proportional to 29,607.75 and 38,413.13

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Solution

The third proportional to 29,607.75 and 38,413.13 is: 49,837.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,607.75 : 38,413.13 = 38,413.13 : x
  2. Step 2: Convert to fraction form
    29,607.75/38,413.13 = 38,413.13/x
  3. Step 3: Cross multiply
    29,607.75x = 38,413.13 × 38,413.13
  4. Step 4: Simplify right side
    29,607.75x = 1,475,568,172.27
  5. Step 5: Solve for x
    x = 1,475,568,172.27/29,607.75
  6. Step 6: Final answer
    x = 49,837.23

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.