An acute rapidly progressive disease of the spinal nerves with progressive muscle weakness and paralysis in a 24- to 72-hour period may be indicative of

Guillain-Barre syndrome.

Explanation:

Guillain-Barre syndrome may be defined as the a rare disorder in which the nerves of an individual are attacked by the body's immune system. The symptoms include tingling, weakness and paralysis.

The spinal nerves gets progressively reduced causes the muscle weakness. The individual get attacked by the paralysis in a 24 to 72 hours of the period. The peripheral nervous system of the body gets damaged in this disease.

Thus, the answer is Guillain-Barre syndrome.