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Finding the Third Proportional to 23,413.25 and 34,981.38

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Solution

The third proportional to 23,413.25 and 34,981.38 is: 52,265.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,413.25 : 34,981.38 = 34,981.38 : x
  2. Step 2: Convert to fraction form
    23,413.25/34,981.38 = 34,981.38/x
  3. Step 3: Cross multiply
    23,413.25x = 34,981.38 × 34,981.38
  4. Step 4: Simplify right side
    23,413.25x = 1,223,696,596.89
  5. Step 5: Solve for x
    x = 1,223,696,596.89/23,413.25
  6. Step 6: Final answer
    x = 52,265.13

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.