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Finding the Third Proportional to 12,786 and 17,163

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Solution

The third proportional to 12,786 and 17,163 is: 23,038.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,786 : 17,163 = 17,163 : x
  2. Step 2: Convert to fraction form
    12,786/17,163 = 17,163/x
  3. Step 3: Cross multiply
    12,786x = 17,163 × 17,163
  4. Step 4: Simplify right side
    12,786x = 294,568,569
  5. Step 5: Solve for x
    x = 294,568,569/12,786
  6. Step 6: Final answer
    x = 23,038.37

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.