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Finding the Third Proportional to 17,786 and 38,329

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Solution

The third proportional to 17,786 and 38,329 is: 82,599.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,786 : 38,329 = 38,329 : x
  2. Step 2: Convert to fraction form
    17,786/38,329 = 38,329/x
  3. Step 3: Cross multiply
    17,786x = 38,329 × 38,329
  4. Step 4: Simplify right side
    17,786x = 1,469,112,241
  5. Step 5: Solve for x
    x = 1,469,112,241/17,786
  6. Step 6: Final answer
    x = 82,599.36

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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.