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Finding the Third Proportional to 25,462.69 and 37,413.14

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Solution

The third proportional to 25,462.69 and 37,413.14 is: 54,972.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,462.69 : 37,413.14 = 37,413.14 : x
  2. Step 2: Convert to fraction form
    25,462.69/37,413.14 = 37,413.14/x
  3. Step 3: Cross multiply
    25,462.69x = 37,413.14 × 37,413.14
  4. Step 4: Simplify right side
    25,462.69x = 1,399,743,091.43
  5. Step 5: Solve for x
    x = 1,399,743,091.43/25,462.69
  6. Step 6: Final answer
    x = 54,972.32

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.