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Finding the Third Proportional to 33,937 and 49,919

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Solution

The third proportional to 33,937 and 49,919 is: 73,427.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,937 : 49,919 = 49,919 : x
  2. Step 2: Convert to fraction form
    33,937/49,919 = 49,919/x
  3. Step 3: Cross multiply
    33,937x = 49,919 × 49,919
  4. Step 4: Simplify right side
    33,937x = 2,491,906,561
  5. Step 5: Solve for x
    x = 2,491,906,561/33,937
  6. Step 6: Final answer
    x = 73,427.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.