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Finding the Third Proportional to 33,559 and 50,336

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Solution

The third proportional to 33,559 and 50,336 is: 75,500.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,559 : 50,336 = 50,336 : x
  2. Step 2: Convert to fraction form
    33,559/50,336 = 50,336/x
  3. Step 3: Cross multiply
    33,559x = 50,336 × 50,336
  4. Step 4: Simplify right side
    33,559x = 2,533,712,896
  5. Step 5: Solve for x
    x = 2,533,712,896/33,559
  6. Step 6: Final answer
    x = 75,500.25

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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.