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Finding the Third Proportional to 33,824 and 48,077

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Solution

The third proportional to 33,824 and 48,077 is: 68,336.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,824 : 48,077 = 48,077 : x
  2. Step 2: Convert to fraction form
    33,824/48,077 = 48,077/x
  3. Step 3: Cross multiply
    33,824x = 48,077 × 48,077
  4. Step 4: Simplify right side
    33,824x = 2,311,397,929
  5. Step 5: Solve for x
    x = 2,311,397,929/33,824
  6. Step 6: Final answer
    x = 68,336.03

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.