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Finding the Third Proportional to 11,437 and 17,183

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Solution

The third proportional to 11,437 and 17,183 is: 25,815.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,437 : 17,183 = 17,183 : x
  2. Step 2: Convert to fraction form
    11,437/17,183 = 17,183/x
  3. Step 3: Cross multiply
    11,437x = 17,183 × 17,183
  4. Step 4: Simplify right side
    11,437x = 295,255,489
  5. Step 5: Solve for x
    x = 295,255,489/11,437
  6. Step 6: Final answer
    x = 25,815.82

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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.