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Finding the Third Proportional to 27,556 and 41,256

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Solution

The third proportional to 27,556 and 41,256 is: 61,767.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,556 : 41,256 = 41,256 : x
  2. Step 2: Convert to fraction form
    27,556/41,256 = 41,256/x
  3. Step 3: Cross multiply
    27,556x = 41,256 × 41,256
  4. Step 4: Simplify right side
    27,556x = 1,702,057,536
  5. Step 5: Solve for x
    x = 1,702,057,536/27,556
  6. Step 6: Final answer
    x = 61,767.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.