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Finding the Third Proportional to 39,744 and 84,225

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Solution

The third proportional to 39,744 and 84,225 is: 178,488.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,744 : 84,225 = 84,225 : x
  2. Step 2: Convert to fraction form
    39,744/84,225 = 84,225/x
  3. Step 3: Cross multiply
    39,744x = 84,225 × 84,225
  4. Step 4: Simplify right side
    39,744x = 7,093,850,625
  5. Step 5: Solve for x
    x = 7,093,850,625/39,744
  6. Step 6: Final answer
    x = 178,488.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.