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Finding the Third Proportional to 33,174 and 48,782

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Solution

The third proportional to 33,174 and 48,782 is: 71,733.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,174 : 48,782 = 48,782 : x
  2. Step 2: Convert to fraction form
    33,174/48,782 = 48,782/x
  3. Step 3: Cross multiply
    33,174x = 48,782 × 48,782
  4. Step 4: Simplify right side
    33,174x = 2,379,683,524
  5. Step 5: Solve for x
    x = 2,379,683,524/33,174
  6. Step 6: Final answer
    x = 71,733.39

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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.