A shipping company operates a route on which a boat must sail 100 km upstream against a current whose speed is 10 km/h. It is known that the power the boat to navigate is proportional to the cube of the boat's speed in relation to the water. The fuel consumption, on the other hand, is proportional to the product of the travel time and the power developed by the boat. Calculate the speed that the boat must maintain to make the trip with minimum fuel consumption.
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