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Finding the Third Proportional to 8,255.71 and 16,107.77

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Solution

The third proportional to 8,255.71 and 16,107.77 is: 31,427.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,255.71 : 16,107.77 = 16,107.77 : x
  2. Step 2: Convert to fraction form
    8,255.71/16,107.77 = 16,107.77/x
  3. Step 3: Cross multiply
    8,255.71x = 16,107.77 × 16,107.77
  4. Step 4: Simplify right side
    8,255.71x = 259,460,176.35
  5. Step 5: Solve for x
    x = 259,460,176.35/8,255.71
  6. Step 6: Final answer
    x = 31,427.96

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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.