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Finding the Third Proportional to 17,609 and 38,377

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Solution

The third proportional to 17,609 and 38,377 is: 83,638.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,609 : 38,377 = 38,377 : x
  2. Step 2: Convert to fraction form
    17,609/38,377 = 38,377/x
  3. Step 3: Cross multiply
    17,609x = 38,377 × 38,377
  4. Step 4: Simplify right side
    17,609x = 1,472,794,129
  5. Step 5: Solve for x
    x = 1,472,794,129/17,609
  6. Step 6: Final answer
    x = 83,638.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.