The two consecutive numbers with a product of 2450 can be found by setting up the equation x(x+1) = 2450, where x is the first number. By expanding the equation, we get x^2 + x - 2450 = 0. This is a quadratic equation that can be factored as (x - 35)(x + 70) = 0. Therefore, the two consecutive numbers are 35 and 36.
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