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Finding the Third Proportional to 22,272.75 and 33,300

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Solution

The third proportional to 22,272.75 and 33,300 is: 49,786.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,272.75 : 33,300 = 33,300 : x
  2. Step 2: Convert to fraction form
    22,272.75/33,300 = 33,300/x
  3. Step 3: Cross multiply
    22,272.75x = 33,300 × 33,300
  4. Step 4: Simplify right side
    22,272.75x = 1,108,890,000
  5. Step 5: Solve for x
    x = 1,108,890,000/22,272.75
  6. Step 6: Final answer
    x = 49,786.85

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