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Finding the Third Proportional to 17,609 and 37,993

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Solution

The third proportional to 17,609 and 37,993 is: 81,973.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,609 : 37,993 = 37,993 : x
  2. Step 2: Convert to fraction form
    17,609/37,993 = 37,993/x
  3. Step 3: Cross multiply
    17,609x = 37,993 × 37,993
  4. Step 4: Simplify right side
    17,609x = 1,443,468,049
  5. Step 5: Solve for x
    x = 1,443,468,049/17,609
  6. Step 6: Final answer
    x = 81,973.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.