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Finding the Third Proportional to 1,815.75 and 3,976.17

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Solution

The third proportional to 1,815.75 and 3,976.17 is: 8,707.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,815.75 : 3,976.17 = 3,976.17 : x
  2. Step 2: Convert to fraction form
    1,815.75/3,976.17 = 3,976.17/x
  3. Step 3: Cross multiply
    1,815.75x = 3,976.17 × 3,976.17
  4. Step 4: Simplify right side
    1,815.75x = 15,809,942.78
  5. Step 5: Solve for x
    x = 15,809,942.78/1,815.75
  6. Step 6: Final answer
    x = 8,707.11

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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.