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Finding the Third Proportional to 12,256 and 17,693

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Solution

The third proportional to 12,256 and 17,693 is: 25,541.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,256 : 17,693 = 17,693 : x
  2. Step 2: Convert to fraction form
    12,256/17,693 = 17,693/x
  3. Step 3: Cross multiply
    12,256x = 17,693 × 17,693
  4. Step 4: Simplify right side
    12,256x = 313,042,249
  5. Step 5: Solve for x
    x = 313,042,249/12,256
  6. Step 6: Final answer
    x = 25,541.96

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.