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Finding the Third Proportional to 33,263 and 39,413.75

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Solution

The third proportional to 33,263 and 39,413.75 is: 46,701.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,263 : 39,413.75 = 39,413.75 : x
  2. Step 2: Convert to fraction form
    33,263/39,413.75 = 39,413.75/x
  3. Step 3: Cross multiply
    33,263x = 39,413.75 × 39,413.75
  4. Step 4: Simplify right side
    33,263x = 1,553,443,689.06
  5. Step 5: Solve for x
    x = 1,553,443,689.06/33,263
  6. Step 6: Final answer
    x = 46,701.85

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.