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Finding the Third Proportional to 33,927 and 49,878

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Solution

The third proportional to 33,927 and 49,878 is: 73,328.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,927 : 49,878 = 49,878 : x
  2. Step 2: Convert to fraction form
    33,927/49,878 = 49,878/x
  3. Step 3: Cross multiply
    33,927x = 49,878 × 49,878
  4. Step 4: Simplify right side
    33,927x = 2,487,814,884
  5. Step 5: Solve for x
    x = 2,487,814,884/33,927
  6. Step 6: Final answer
    x = 73,328.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.