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Finding the Third Proportional to 33,240 and 50,532

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Solution

The third proportional to 33,240 and 50,532 is: 76,819.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,240 : 50,532 = 50,532 : x
  2. Step 2: Convert to fraction form
    33,240/50,532 = 50,532/x
  3. Step 3: Cross multiply
    33,240x = 50,532 × 50,532
  4. Step 4: Simplify right side
    33,240x = 2,553,483,024
  5. Step 5: Solve for x
    x = 2,553,483,024/33,240
  6. Step 6: Final answer
    x = 76,819.59

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.