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Finding the Third Proportional to 1,815.75 and 3,873.38

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Solution

The third proportional to 1,815.75 and 3,873.38 is: 8,262.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,815.75 : 3,873.38 = 3,873.38 : x
  2. Step 2: Convert to fraction form
    1,815.75/3,873.38 = 3,873.38/x
  3. Step 3: Cross multiply
    1,815.75x = 3,873.38 × 3,873.38
  4. Step 4: Simplify right side
    1,815.75x = 15,003,033.89
  5. Step 5: Solve for x
    x = 15,003,033.89/1,815.75
  6. Step 6: Final answer
    x = 8,262.72

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.