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Finding the Third Proportional to 33,686 and 51,556

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Solution

The third proportional to 33,686 and 51,556 is: 78,905.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,686 : 51,556 = 51,556 : x
  2. Step 2: Convert to fraction form
    33,686/51,556 = 51,556/x
  3. Step 3: Cross multiply
    33,686x = 51,556 × 51,556
  4. Step 4: Simplify right side
    33,686x = 2,658,021,136
  5. Step 5: Solve for x
    x = 2,658,021,136/33,686
  6. Step 6: Final answer
    x = 78,905.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.