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Finding the Third Proportional to 3,785.06 and 8,976.66

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Solution

The third proportional to 3,785.06 and 8,976.66 is: 21,289.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.06 : 8,976.66 = 8,976.66 : x
  2. Step 2: Convert to fraction form
    3,785.06/8,976.66 = 8,976.66/x
  3. Step 3: Cross multiply
    3,785.06x = 8,976.66 × 8,976.66
  4. Step 4: Simplify right side
    3,785.06x = 80,580,357.43
  5. Step 5: Solve for x
    x = 80,580,357.43/3,785.06
  6. Step 6: Final answer
    x = 21,289.04

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.