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Finding the Third Proportional to 3,833.68 and 8,254.62

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Solution

The third proportional to 3,833.68 and 8,254.62 is: 17,773.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.68 : 8,254.62 = 8,254.62 : x
  2. Step 2: Convert to fraction form
    3,833.68/8,254.62 = 8,254.62/x
  3. Step 3: Cross multiply
    3,833.68x = 8,254.62 × 8,254.62
  4. Step 4: Simplify right side
    3,833.68x = 68,138,704.91
  5. Step 5: Solve for x
    x = 68,138,704.91/3,833.68
  6. Step 6: Final answer
    x = 17,773.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.