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Finding the Third Proportional to 40,413.94 and 55,495.13

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Solution

The third proportional to 40,413.94 and 55,495.13 is: 76,204.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,413.94 : 55,495.13 = 55,495.13 : x
  2. Step 2: Convert to fraction form
    40,413.94/55,495.13 = 55,495.13/x
  3. Step 3: Cross multiply
    40,413.94x = 55,495.13 × 55,495.13
  4. Step 4: Simplify right side
    40,413.94x = 3,079,708,898.77
  5. Step 5: Solve for x
    x = 3,079,708,898.77/40,413.94
  6. Step 6: Final answer
    x = 76,204.13

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.