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Finding the Third Proportional to 27,912 and 60,756

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Solution

The third proportional to 27,912 and 60,756 is: 132,247.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,912 : 60,756 = 60,756 : x
  2. Step 2: Convert to fraction form
    27,912/60,756 = 60,756/x
  3. Step 3: Cross multiply
    27,912x = 60,756 × 60,756
  4. Step 4: Simplify right side
    27,912x = 3,691,291,536
  5. Step 5: Solve for x
    x = 3,691,291,536/27,912
  6. Step 6: Final answer
    x = 132,247.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.