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Finding the Third Proportional to 33,268 and 48,661

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Solution

The third proportional to 33,268 and 48,661 is: 71,176.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,268 : 48,661 = 48,661 : x
  2. Step 2: Convert to fraction form
    33,268/48,661 = 48,661/x
  3. Step 3: Cross multiply
    33,268x = 48,661 × 48,661
  4. Step 4: Simplify right side
    33,268x = 2,367,892,921
  5. Step 5: Solve for x
    x = 2,367,892,921/33,268
  6. Step 6: Final answer
    x = 71,176.29

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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.