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Finding the Third Proportional to 11,279 and 17,546

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Solution

The third proportional to 11,279 and 17,546 is: 27,295.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,279 : 17,546 = 17,546 : x
  2. Step 2: Convert to fraction form
    11,279/17,546 = 17,546/x
  3. Step 3: Cross multiply
    11,279x = 17,546 × 17,546
  4. Step 4: Simplify right side
    11,279x = 307,862,116
  5. Step 5: Solve for x
    x = 307,862,116/11,279
  6. Step 6: Final answer
    x = 27,295.16

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.