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Finding the Third Proportional to 33,975 and 49,963

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Solution

The third proportional to 33,975 and 49,963 is: 73,474.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,975 : 49,963 = 49,963 : x
  2. Step 2: Convert to fraction form
    33,975/49,963 = 49,963/x
  3. Step 3: Cross multiply
    33,975x = 49,963 × 49,963
  4. Step 4: Simplify right side
    33,975x = 2,496,301,369
  5. Step 5: Solve for x
    x = 2,496,301,369/33,975
  6. Step 6: Final answer
    x = 73,474.65

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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.