Land not a part of and not contiguous to any district, containing at least 10 privately owned acres, and lying within the exterior boundaries of any petitioning district, the nearest boundary of which is within three miles of the nearest boundary of the annexing district may be annexed to the annexing district in the manner provided in this article or in the District Reorganization Act of 1965 (commencing at Section 56000, Government Code). When proceedings for such annexation are taken pursuant to this article, only the provisions of this article shall apply thereto.