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Finding the Third Proportional to 27,512 and 41,268

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Solution

The third proportional to 27,512 and 41,268 is: 61,902

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,512 : 41,268 = 41,268 : x
  2. Step 2: Convert to fraction form
    27,512/41,268 = 41,268/x
  3. Step 3: Cross multiply
    27,512x = 41,268 × 41,268
  4. Step 4: Simplify right side
    27,512x = 1,703,047,824
  5. Step 5: Solve for x
    x = 1,703,047,824/27,512
  6. Step 6: Final answer
    x = 61,902

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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.