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Finding the Third Proportional to 17,786 and 38,704

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Solution

The third proportional to 17,786 and 38,704 is: 84,223.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,786 : 38,704 = 38,704 : x
  2. Step 2: Convert to fraction form
    17,786/38,704 = 38,704/x
  3. Step 3: Cross multiply
    17,786x = 38,704 × 38,704
  4. Step 4: Simplify right side
    17,786x = 1,497,999,616
  5. Step 5: Solve for x
    x = 1,497,999,616/17,786
  6. Step 6: Final answer
    x = 84,223.53

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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.