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Finding the Third Proportional to 33,016 and 49,681

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Solution

The third proportional to 33,016 and 49,681 is: 74,757.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,016 : 49,681 = 49,681 : x
  2. Step 2: Convert to fraction form
    33,016/49,681 = 49,681/x
  3. Step 3: Cross multiply
    33,016x = 49,681 × 49,681
  4. Step 4: Simplify right side
    33,016x = 2,468,201,761
  5. Step 5: Solve for x
    x = 2,468,201,761/33,016
  6. Step 6: Final answer
    x = 74,757.75

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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.