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Finding the Third Proportional to 25,413.75 and 55,674

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Solution

The third proportional to 25,413.75 and 55,674 is: 121,965.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,413.75 : 55,674 = 55,674 : x
  2. Step 2: Convert to fraction form
    25,413.75/55,674 = 55,674/x
  3. Step 3: Cross multiply
    25,413.75x = 55,674 × 55,674
  4. Step 4: Simplify right side
    25,413.75x = 3,099,594,276
  5. Step 5: Solve for x
    x = 3,099,594,276/25,413.75
  6. Step 6: Final answer
    x = 121,965.25

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.