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Finding the Third Proportional to 22,013.25 and 33,441

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Solution

The third proportional to 22,013.25 and 33,441 is: 50,801.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,013.25 : 33,441 = 33,441 : x
  2. Step 2: Convert to fraction form
    22,013.25/33,441 = 33,441/x
  3. Step 3: Cross multiply
    22,013.25x = 33,441 × 33,441
  4. Step 4: Simplify right side
    22,013.25x = 1,118,300,481
  5. Step 5: Solve for x
    x = 1,118,300,481/22,013.25
  6. Step 6: Final answer
    x = 50,801.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.