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Finding the Third Proportional to 33,016 and 44,858

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Solution

The third proportional to 33,016 and 44,858 is: 60,947.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,016 : 44,858 = 44,858 : x
  2. Step 2: Convert to fraction form
    33,016/44,858 = 44,858/x
  3. Step 3: Cross multiply
    33,016x = 44,858 × 44,858
  4. Step 4: Simplify right side
    33,016x = 2,012,240,164
  5. Step 5: Solve for x
    x = 2,012,240,164/33,016
  6. Step 6: Final answer
    x = 60,947.42

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.