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Finding the Third Proportional to 17,167 and 37,613

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Solution

The third proportional to 17,167 and 37,613 is: 82,410.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,167 : 37,613 = 37,613 : x
  2. Step 2: Convert to fraction form
    17,167/37,613 = 37,613/x
  3. Step 3: Cross multiply
    17,167x = 37,613 × 37,613
  4. Step 4: Simplify right side
    17,167x = 1,414,737,769
  5. Step 5: Solve for x
    x = 1,414,737,769/17,167
  6. Step 6: Final answer
    x = 82,410.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.