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Finding the Third Proportional to 33,175 and 48,777

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Solution

The third proportional to 33,175 and 48,777 is: 71,716.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,175 : 48,777 = 48,777 : x
  2. Step 2: Convert to fraction form
    33,175/48,777 = 48,777/x
  3. Step 3: Cross multiply
    33,175x = 48,777 × 48,777
  4. Step 4: Simplify right side
    33,175x = 2,379,195,729
  5. Step 5: Solve for x
    x = 2,379,195,729/33,175
  6. Step 6: Final answer
    x = 71,716.53

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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.