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Finding the Third Proportional to 33,537 and 50,309

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Solution

The third proportional to 33,537 and 50,309 is: 75,468.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,537 : 50,309 = 50,309 : x
  2. Step 2: Convert to fraction form
    33,537/50,309 = 50,309/x
  3. Step 3: Cross multiply
    33,537x = 50,309 × 50,309
  4. Step 4: Simplify right side
    33,537x = 2,530,995,481
  5. Step 5: Solve for x
    x = 2,530,995,481/33,537
  6. Step 6: Final answer
    x = 75,468.75

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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.