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Finding the Third Proportional to 33,931 and 49,883

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Solution

The third proportional to 33,931 and 49,883 is: 73,334.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,931 : 49,883 = 49,883 : x
  2. Step 2: Convert to fraction form
    33,931/49,883 = 49,883/x
  3. Step 3: Cross multiply
    33,931x = 49,883 × 49,883
  4. Step 4: Simplify right side
    33,931x = 2,488,313,689
  5. Step 5: Solve for x
    x = 2,488,313,689/33,931
  6. Step 6: Final answer
    x = 73,334.52

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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.