Can I ground my preamp?


I have monoblocs each w/their own grounded cord and a preamp w/o a grounded cord. The problem is that I'm getting a slight ground hum from each amp. The amp manual says if this happens to use a cheater plug on the amps and to ground "at least one other component." Is it possible to ground my preamp, and if so how? Many thanks for any advice.
bojack
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I have a Granite Audio grounding system. You can hear some reduction of noise with some settings, but it does not resolve a ground loop problem.

I have yet to find a system that was not improved making the preamp the only grounded unit. Some are very concerned about the possibility that and amp can have the hot wire somehow come in contact with the chassis and a person who is grounded come in contact with that chassis. There is certainly some probability of that happening but it is very remote. Canada doe not allow cheater plugs to be sold, which is over the top in my opinion. Synergistic Research sells the best cheaters that I have ever heard.
Rather than use cheaters I disconnect the ground wire at the IEC end of my PC. Of course, you can only do this if the PC has a removable plug, like Oyaide, Watt Gate, etc. Only my preamp is grounded and I do hear a reduction in noise, but depending on the amp I'm using, it may not solve all the problems.

I've been told that if one uses interconnects that are shielded, it's best that the shield is connected to the ground at one end of the cable. I've also been told you can disconnect the entire ground at one end of an interconnect. Never tried it, but maybe someone here can comment on that.
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"Did that in my system. Didn't solve the problem."

Was it a ground loop problem?