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Finding the Third Proportional to 22,163.25 and 33,261

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Solution

The third proportional to 22,163.25 and 33,261 is: 49,915.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,163.25 : 33,261 = 33,261 : x
  2. Step 2: Convert to fraction form
    22,163.25/33,261 = 33,261/x
  3. Step 3: Cross multiply
    22,163.25x = 33,261 × 33,261
  4. Step 4: Simplify right side
    22,163.25x = 1,106,294,121
  5. Step 5: Solve for x
    x = 1,106,294,121/22,163.25
  6. Step 6: Final answer
    x = 49,915.70

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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.