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Finding the Third Proportional to 33,982 and 74,524

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Solution

The third proportional to 33,982 and 74,524 is: 163,434.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,982 : 74,524 = 74,524 : x
  2. Step 2: Convert to fraction form
    33,982/74,524 = 74,524/x
  3. Step 3: Cross multiply
    33,982x = 74,524 × 74,524
  4. Step 4: Simplify right side
    33,982x = 5,553,826,576
  5. Step 5: Solve for x
    x = 5,553,826,576/33,982
  6. Step 6: Final answer
    x = 163,434.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.