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Finding the Third Proportional to 24,340 and 33,912

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Solution

The third proportional to 24,340 and 33,912 is: 47,248.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,340 : 33,912 = 33,912 : x
  2. Step 2: Convert to fraction form
    24,340/33,912 = 33,912/x
  3. Step 3: Cross multiply
    24,340x = 33,912 × 33,912
  4. Step 4: Simplify right side
    24,340x = 1,150,023,744
  5. Step 5: Solve for x
    x = 1,150,023,744/24,340
  6. Step 6: Final answer
    x = 47,248.31

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.