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Finding the Third Proportional to 17,041 and 27,098

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Solution

The third proportional to 17,041 and 27,098 is: 43,090.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,041 : 27,098 = 27,098 : x
  2. Step 2: Convert to fraction form
    17,041/27,098 = 27,098/x
  3. Step 3: Cross multiply
    17,041x = 27,098 × 27,098
  4. Step 4: Simplify right side
    17,041x = 734,301,604
  5. Step 5: Solve for x
    x = 734,301,604/17,041
  6. Step 6: Final answer
    x = 43,090.29

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.