An alternative to plugins is the feature in JIRA. When you create a project, the project type selector dialog has a link at the bottom: "Create with shared configuration".
If you choose that, you can select a source project to base your new project on. You can this way set up template projects, or simply select on of your real projects.
There are several paid and free plugins which can clone a project.
When you clone a project, the schemes get cloned as well. Unless you create a new scheme, any time you update a scheme it will affect both projects.
These schemes are:
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