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Finding the Third Proportional to 17,631 and 38,061

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Solution

The third proportional to 17,631 and 38,061 is: 82,164.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,631 : 38,061 = 38,061 : x
  2. Step 2: Convert to fraction form
    17,631/38,061 = 38,061/x
  3. Step 3: Cross multiply
    17,631x = 38,061 × 38,061
  4. Step 4: Simplify right side
    17,631x = 1,448,639,721
  5. Step 5: Solve for x
    x = 1,448,639,721/17,631
  6. Step 6: Final answer
    x = 82,164.35

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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.