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Finding the Third Proportional to 3,411.85 and 8,255.71

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Solution

The third proportional to 3,411.85 and 8,255.71 is: 19,976.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.85 : 8,255.71 = 8,255.71 : x
  2. Step 2: Convert to fraction form
    3,411.85/8,255.71 = 8,255.71/x
  3. Step 3: Cross multiply
    3,411.85x = 8,255.71 × 8,255.71
  4. Step 4: Simplify right side
    3,411.85x = 68,156,771.15
  5. Step 5: Solve for x
    x = 68,156,771.15/3,411.85
  6. Step 6: Final answer
    x = 19,976.50

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.