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Finding the Third Proportional to 33,456 and 45,876

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Solution

The third proportional to 33,456 and 45,876 is: 62,906.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,456 : 45,876 = 45,876 : x
  2. Step 2: Convert to fraction form
    33,456/45,876 = 45,876/x
  3. Step 3: Cross multiply
    33,456x = 45,876 × 45,876
  4. Step 4: Simplify right side
    33,456x = 2,104,607,376
  5. Step 5: Solve for x
    x = 2,104,607,376/33,456
  6. Step 6: Final answer
    x = 62,906.72

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.