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Most of that data is stored as text unless you guys are storing the digital video (are those dash cams even storing it in digital form?) from your cars with the cases, there's no way you ate up 3GB with 23 measly cases. To put this in perspective, 1KB is roughly 1 page of plain text. 1MB stores 1000 pages. 1GB stores 1 million pages of plain text.
A new tape won't make a difference since you're doing full backups which should be starting at the beginning of the tape.
You really do need to get that company to do a directory listing of your tape to figure out where all this space is being sucked up...they should have done this for you already if they were any good :-P
Good luck squeezing the school department stone for money...at this point, it seems like every department for themselves. In Boston, ISD just ticketed everyone in our neighborhood for not shoveling small section of an alley behind our houses (no one has shoveled it for 40+ years over the winter because no one goes out that way). Everyone's doing the money grab :-P
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