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Finding the Third Proportional to 33,103.75 and 49,967

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Solution

The third proportional to 33,103.75 and 49,967 is: 75,420.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,103.75 : 49,967 = 49,967 : x
  2. Step 2: Convert to fraction form
    33,103.75/49,967 = 49,967/x
  3. Step 3: Cross multiply
    33,103.75x = 49,967 × 49,967
  4. Step 4: Simplify right side
    33,103.75x = 2,496,701,089
  5. Step 5: Solve for x
    x = 2,496,701,089/33,103.75
  6. Step 6: Final answer
    x = 75,420.49

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.