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Finding the Third Proportional to 27,305 and 41,751

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Solution

The third proportional to 27,305 and 41,751 is: 63,839.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,305 : 41,751 = 41,751 : x
  2. Step 2: Convert to fraction form
    27,305/41,751 = 41,751/x
  3. Step 3: Cross multiply
    27,305x = 41,751 × 41,751
  4. Step 4: Simplify right side
    27,305x = 1,743,146,001
  5. Step 5: Solve for x
    x = 1,743,146,001/27,305
  6. Step 6: Final answer
    x = 63,839.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.