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Finding the Third Proportional to 1,621.27 and 3,815.86

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Solution

The third proportional to 1,621.27 and 3,815.86 is: 8,981.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,621.27 : 3,815.86 = 3,815.86 : x
  2. Step 2: Convert to fraction form
    1,621.27/3,815.86 = 3,815.86/x
  3. Step 3: Cross multiply
    1,621.27x = 3,815.86 × 3,815.86
  4. Step 4: Simplify right side
    1,621.27x = 14,560,782.77
  5. Step 5: Solve for x
    x = 14,560,782.77/1,621.27
  6. Step 6: Final answer
    x = 8,981.12

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.