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Finding the Third Proportional to 38,033.25 and 59,661.75

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Solution

The third proportional to 38,033.25 and 59,661.75 is: 93,589.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,033.25 : 59,661.75 = 59,661.75 : x
  2. Step 2: Convert to fraction form
    38,033.25/59,661.75 = 59,661.75/x
  3. Step 3: Cross multiply
    38,033.25x = 59,661.75 × 59,661.75
  4. Step 4: Simplify right side
    38,033.25x = 3,559,524,413.06
  5. Step 5: Solve for x
    x = 3,559,524,413.06/38,033.25
  6. Step 6: Final answer
    x = 93,589.80

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.