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Finding the Third Proportional to 8,256 and 17,336

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Solution

The third proportional to 8,256 and 17,336 is: 36,402.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,256 : 17,336 = 17,336 : x
  2. Step 2: Convert to fraction form
    8,256/17,336 = 17,336/x
  3. Step 3: Cross multiply
    8,256x = 17,336 × 17,336
  4. Step 4: Simplify right side
    8,256x = 300,536,896
  5. Step 5: Solve for x
    x = 300,536,896/8,256
  6. Step 6: Final answer
    x = 36,402.24

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.