What should a rescuer do for a 10-year-old child who is limply choking but can move a minimal amount of air?

When a 10-year-old child is limply choking but is still able to move some air, it indicates that the airway is not completely obstructed, although it is partially obstructed. In this critical situation, the most appropriate action is to continue providing back blows and abdominal thrusts. These methods are designed to increase the pressure in the chest and abdomen, which can help dislodge the object causing the obstruction.

Continuing with back blows and abdominal thrusts is crucial because they can create a forceful expulsion of air that may be effective in clearing the obstruction. It is important to continue these maneuvers until the object is expelled or the child becomes unconscious, at which point the rescuer would need to initiate CPR if the child stops breathing.

Administering oxygen or simply monitoring SpO2 levels might be considered in situations of respiratory distress, but because the child is still able to move some air, focusing on removing the obstruction is the priority. Similarly, placing the child in a recovery position or performing CPR would not address the immediate need to clear the airway. Hence, continuing with back blows and abdominal thrusts is the correct course of action in this scenario.