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Finding the Third Proportional to 23,349 and 33,564

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Solution

The third proportional to 23,349 and 33,564 is: 48,247.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,349 : 33,564 = 33,564 : x
  2. Step 2: Convert to fraction form
    23,349/33,564 = 33,564/x
  3. Step 3: Cross multiply
    23,349x = 33,564 × 33,564
  4. Step 4: Simplify right side
    23,349x = 1,126,542,096
  5. Step 5: Solve for x
    x = 1,126,542,096/23,349
  6. Step 6: Final answer
    x = 48,247.98

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.