Well, I don't see how this is a "moral" dilemma, but that's beside the point.

Take the job. My first programming job paid exactly this much, and I was thrilled. By the time I left that company, they had given me two big raises for proving myself useful.

Your only moral dilemma will be when your interviewer for the next job asks what your current salary is and you have to decide if you want to dodge it or lie about it. Most interviewing tips I've read says you should dodge the question regardless of how much you make.