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Finding the Third Proportional to 27,876 and 61,296

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Solution

The third proportional to 27,876 and 61,296 is: 134,782.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,876 : 61,296 = 61,296 : x
  2. Step 2: Convert to fraction form
    27,876/61,296 = 61,296/x
  3. Step 3: Cross multiply
    27,876x = 61,296 × 61,296
  4. Step 4: Simplify right side
    27,876x = 3,757,199,616
  5. Step 5: Solve for x
    x = 3,757,199,616/27,876
  6. Step 6: Final answer
    x = 134,782.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.