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Finding the Third Proportional to 5,071 and 11,751

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Solution

The third proportional to 5,071 and 11,751 is: 27,230.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,071 : 11,751 = 11,751 : x
  2. Step 2: Convert to fraction form
    5,071/11,751 = 11,751/x
  3. Step 3: Cross multiply
    5,071x = 11,751 × 11,751
  4. Step 4: Simplify right side
    5,071x = 138,086,001
  5. Step 5: Solve for x
    x = 138,086,001/5,071
  6. Step 6: Final answer
    x = 27,230.53

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.