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Finding the Third Proportional to 3,585.94 and 4,107.38

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Solution

The third proportional to 3,585.94 and 4,107.38 is: 4,704.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.94 : 4,107.38 = 4,107.38 : x
  2. Step 2: Convert to fraction form
    3,585.94/4,107.38 = 4,107.38/x
  3. Step 3: Cross multiply
    3,585.94x = 4,107.38 × 4,107.38
  4. Step 4: Simplify right side
    3,585.94x = 16,870,529.39
  5. Step 5: Solve for x
    x = 16,870,529.39/3,585.94
  6. Step 6: Final answer
    x = 4,704.64

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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.