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Finding the Third Proportional to 33,212 and 49,946

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Solution

The third proportional to 33,212 and 49,946 is: 75,111.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,212 : 49,946 = 49,946 : x
  2. Step 2: Convert to fraction form
    33,212/49,946 = 49,946/x
  3. Step 3: Cross multiply
    33,212x = 49,946 × 49,946
  4. Step 4: Simplify right side
    33,212x = 2,494,602,916
  5. Step 5: Solve for x
    x = 2,494,602,916/33,212
  6. Step 6: Final answer
    x = 75,111.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.