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Finding the Third Proportional to 3,896.86 and 8,522.72

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Solution

The third proportional to 3,896.86 and 8,522.72 is: 18,639.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.86 : 8,522.72 = 8,522.72 : x
  2. Step 2: Convert to fraction form
    3,896.86/8,522.72 = 8,522.72/x
  3. Step 3: Cross multiply
    3,896.86x = 8,522.72 × 8,522.72
  4. Step 4: Simplify right side
    3,896.86x = 72,636,734.89
  5. Step 5: Solve for x
    x = 72,636,734.89/3,896.86
  6. Step 6: Final answer
    x = 18,639.81

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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.