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The phrase "a further problem to" is correct and usable in written English.
It can be used when introducing an additional issue or complication related to a previous statement or context.
Example: "The initial findings were promising, but there is a further problem to consider regarding the implementation phase."
Alternatives: "an additional issue to" or "a subsequent challenge to".
Exact(2)
Ta Prohm's voracious trees present a further problem: to chop or not to chop?
It is a further problem to find special polynomials that are invariant under the alternating group (A_{n}).
Similar(58)
A further problem relates to the volunteer machines, or nodes, that allow Bitcoin to function.
A further problem related to the order of questions is the mixing up of questions designed to test the witness's sincerity with questions designed to elicit further information.
A further problem, according to Ricardo, an automotive consultancy, is that there are not enough engineering resources to go round.
And there was a further problem: thanks to the public scandal, Sargent suddenly realised that Amélie's family was in no mood to buy.
A further problem relates to the fact that some MDR organisms are spread in the community and these might have been the real cause of some strict community-acquired BSI in our cohort.
In addition to underdiagnosis, a further problem in relation to these conditions is undertreatment [ 20, 21, 24].
Nevertheless, a further problem still seems to remain unresolved: according to Kepler's explication, the planets should move around the Sun as fast as the Sun itself rotates, which is not the case.
Second, a further problem is connected to the individuation of states of affairs.
There is a further problem that relates to the distinction just made (in §2.3) between two kinds of plausibility.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com