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Finding the Third Proportional to 33,309 and 49,863

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Solution

The third proportional to 33,309 and 49,863 is: 74,644.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,309 : 49,863 = 49,863 : x
  2. Step 2: Convert to fraction form
    33,309/49,863 = 49,863/x
  3. Step 3: Cross multiply
    33,309x = 49,863 × 49,863
  4. Step 4: Simplify right side
    33,309x = 2,486,318,769
  5. Step 5: Solve for x
    x = 2,486,318,769/33,309
  6. Step 6: Final answer
    x = 74,644.05

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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.