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Finding the Third Proportional to 8,255 and 16,096

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Solution

The third proportional to 8,255 and 16,096 is: 31,384.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,255 : 16,096 = 16,096 : x
  2. Step 2: Convert to fraction form
    8,255/16,096 = 16,096/x
  3. Step 3: Cross multiply
    8,255x = 16,096 × 16,096
  4. Step 4: Simplify right side
    8,255x = 259,081,216
  5. Step 5: Solve for x
    x = 259,081,216/8,255
  6. Step 6: Final answer
    x = 31,384.76

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.