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Finding the Third Proportional to 3,836.11 and 8,404.17

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Solution

The third proportional to 3,836.11 and 8,404.17 is: 18,411.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836.11 : 8,404.17 = 8,404.17 : x
  2. Step 2: Convert to fraction form
    3,836.11/8,404.17 = 8,404.17/x
  3. Step 3: Cross multiply
    3,836.11x = 8,404.17 × 8,404.17
  4. Step 4: Simplify right side
    3,836.11x = 70,630,104.90
  5. Step 5: Solve for x
    x = 70,630,104.90/3,836.11
  6. Step 6: Final answer
    x = 18,411.91

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.