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Finding the Third Proportional to 5,772.91 and 8,255.71

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Solution

The third proportional to 5,772.91 and 8,255.71 is: 11,806.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,772.91 : 8,255.71 = 8,255.71 : x
  2. Step 2: Convert to fraction form
    5,772.91/8,255.71 = 8,255.71/x
  3. Step 3: Cross multiply
    5,772.91x = 8,255.71 × 8,255.71
  4. Step 4: Simplify right side
    5,772.91x = 68,156,771.15
  5. Step 5: Solve for x
    x = 68,156,771.15/5,772.91
  6. Step 6: Final answer
    x = 11,806.31

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.