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Finding the Third Proportional to 37,413.84 and 55,026.56

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Solution

The third proportional to 37,413.84 and 55,026.56 is: 80,930.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,413.84 : 55,026.56 = 55,026.56 : x
  2. Step 2: Convert to fraction form
    37,413.84/55,026.56 = 55,026.56/x
  3. Step 3: Cross multiply
    37,413.84x = 55,026.56 × 55,026.56
  4. Step 4: Simplify right side
    37,413.84x = 3,027,922,580.57
  5. Step 5: Solve for x
    x = 3,027,922,580.57/37,413.84
  6. Step 6: Final answer
    x = 80,930.54

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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.