Much of the year, I ride 5-6 days a week ... so I often ride 3 days in a row. So do many other cyclists.

Just go out and start riding. We don't know where you're currently at with cycling, but say you're comfortable with a 20 mile ride, go ride 20 miles tomorrow, 20 miles the next day, and 20 miles the following day. Take a day off, and then repeat 20 miles 3 days in a row again. Day off and repeat. Then up it to 25 miles.