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Finding the Third Proportional to 33,462 and 49,266

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Solution

The third proportional to 33,462 and 49,266 is: 72,534.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,462 : 49,266 = 49,266 : x
  2. Step 2: Convert to fraction form
    33,462/49,266 = 49,266/x
  3. Step 3: Cross multiply
    33,462x = 49,266 × 49,266
  4. Step 4: Simplify right side
    33,462x = 2,427,138,756
  5. Step 5: Solve for x
    x = 2,427,138,756/33,462
  6. Step 6: Final answer
    x = 72,534.18

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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.