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Finding the Third Proportional to 33,201 and 49,927

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Solution

The third proportional to 33,201 and 49,927 is: 75,079.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,201 : 49,927 = 49,927 : x
  2. Step 2: Convert to fraction form
    33,201/49,927 = 49,927/x
  3. Step 3: Cross multiply
    33,201x = 49,927 × 49,927
  4. Step 4: Simplify right side
    33,201x = 2,492,705,329
  5. Step 5: Solve for x
    x = 2,492,705,329/33,201
  6. Step 6: Final answer
    x = 75,079.22

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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.