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Finding the Third Proportional to 22,050 and 33,281

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Solution

The third proportional to 22,050 and 33,281 is: 50,232.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,050 : 33,281 = 33,281 : x
  2. Step 2: Convert to fraction form
    22,050/33,281 = 33,281/x
  3. Step 3: Cross multiply
    22,050x = 33,281 × 33,281
  4. Step 4: Simplify right side
    22,050x = 1,107,624,961
  5. Step 5: Solve for x
    x = 1,107,624,961/22,050
  6. Step 6: Final answer
    x = 50,232.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.