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Finding the Third Proportional to 22,275.75 and 33,413.63

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Solution

The third proportional to 22,275.75 and 33,413.63 is: 50,120.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,275.75 : 33,413.63 = 33,413.63 : x
  2. Step 2: Convert to fraction form
    22,275.75/33,413.63 = 33,413.63/x
  3. Step 3: Cross multiply
    22,275.75x = 33,413.63 × 33,413.63
  4. Step 4: Simplify right side
    22,275.75x = 1,116,470,335.64
  5. Step 5: Solve for x
    x = 1,116,470,335.64/22,275.75
  6. Step 6: Final answer
    x = 50,120.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.