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Finding the Third Proportional to 22,263.38 and 47,982.75

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Solution

The third proportional to 22,263.38 and 47,982.75 is: 103,413.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,263.38 : 47,982.75 = 47,982.75 : x
  2. Step 2: Convert to fraction form
    22,263.38/47,982.75 = 47,982.75/x
  3. Step 3: Cross multiply
    22,263.38x = 47,982.75 × 47,982.75
  4. Step 4: Simplify right side
    22,263.38x = 2,302,344,297.56
  5. Step 5: Solve for x
    x = 2,302,344,297.56/22,263.38
  6. Step 6: Final answer
    x = 103,413.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.