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Finding the Third Proportional to 33,111 and 49,970.25

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Solution

The third proportional to 33,111 and 49,970.25 is: 75,413.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,111 : 49,970.25 = 49,970.25 : x
  2. Step 2: Convert to fraction form
    33,111/49,970.25 = 49,970.25/x
  3. Step 3: Cross multiply
    33,111x = 49,970.25 × 49,970.25
  4. Step 4: Simplify right side
    33,111x = 2,497,025,885.06
  5. Step 5: Solve for x
    x = 2,497,025,885.06/33,111
  6. Step 6: Final answer
    x = 75,413.79

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.