As the previous post says, balanced and unbalanced don't really have anything to do with impedance.
Impedance usually doesn't have to be matched.
Matching levels can be an issue, but often one you can deal with.
As noted, Connectors aren't the issue, the issue (if there is one) has to do with the nature of the output signal and the signal the input is looking for. There are examples of:
- Inputs and outputs with the same type of connector that shouldn't by connected together at all, e.g. balanced audio to AES/EBU digital (both XLRs) or unbalanced audio to spdif digital (both RCAs), as mentioned above.
- Inputs and outputs with different types of connectors for which it's ordinarily a trivial matter to interconnect them: unbalanced audio on an RCA to unbalanced audio on a 1/4" TS
- Inputs and outputs with the same type of connector that can be connected by using an adapter in a way that's not obvious unless you understand what's going on, e.g. stereo audio on a TRS to balanced audio on a TRS.