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Finding the Third Proportional to 33,122 and 49,042

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Solution

The third proportional to 33,122 and 49,042 is: 72,613.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,122 : 49,042 = 49,042 : x
  2. Step 2: Convert to fraction form
    33,122/49,042 = 49,042/x
  3. Step 3: Cross multiply
    33,122x = 49,042 × 49,042
  4. Step 4: Simplify right side
    33,122x = 2,405,117,764
  5. Step 5: Solve for x
    x = 2,405,117,764/33,122
  6. Step 6: Final answer
    x = 72,613.91

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.