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Finding the Third Proportional to 23,050 and 33,567

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Solution

The third proportional to 23,050 and 33,567 is: 48,882.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,050 : 33,567 = 33,567 : x
  2. Step 2: Convert to fraction form
    23,050/33,567 = 33,567/x
  3. Step 3: Cross multiply
    23,050x = 33,567 × 33,567
  4. Step 4: Simplify right side
    23,050x = 1,126,743,489
  5. Step 5: Solve for x
    x = 1,126,743,489/23,050
  6. Step 6: Final answer
    x = 48,882.58

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.