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Finding the Third Proportional to 37,603.69 and 56,413.69

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Solution

The third proportional to 37,603.69 and 56,413.69 is: 84,632.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,603.69 : 56,413.69 = 56,413.69 : x
  2. Step 2: Convert to fraction form
    37,603.69/56,413.69 = 56,413.69/x
  3. Step 3: Cross multiply
    37,603.69x = 56,413.69 × 56,413.69
  4. Step 4: Simplify right side
    37,603.69x = 3,182,504,137.35
  5. Step 5: Solve for x
    x = 3,182,504,137.35/37,603.69
  6. Step 6: Final answer
    x = 84,632.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.