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Finding the Third Proportional to 27,777 and 60,956

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Solution

The third proportional to 27,777 and 60,956 is: 133,766.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,777 : 60,956 = 60,956 : x
  2. Step 2: Convert to fraction form
    27,777/60,956 = 60,956/x
  3. Step 3: Cross multiply
    27,777x = 60,956 × 60,956
  4. Step 4: Simplify right side
    27,777x = 3,715,633,936
  5. Step 5: Solve for x
    x = 3,715,633,936/27,777
  6. Step 6: Final answer
    x = 133,766.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.