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Finding the Third Proportional to 33,883 and 74,330

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Solution

The third proportional to 33,883 and 74,330 is: 163,059.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,883 : 74,330 = 74,330 : x
  2. Step 2: Convert to fraction form
    33,883/74,330 = 74,330/x
  3. Step 3: Cross multiply
    33,883x = 74,330 × 74,330
  4. Step 4: Simplify right side
    33,883x = 5,524,948,900
  5. Step 5: Solve for x
    x = 5,524,948,900/33,883
  6. Step 6: Final answer
    x = 163,059.61

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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.