Every other Briton's reasonable and related by blood (10)
I believe the answer is:
biological
'related by blood' is the definition.
The answer and definition are not the same part of speech. However, adjectives and past participle verbs can sometimes define each other.
'every other briton's reasonable' is the wordplay.
'every other' indicates alternate letters (every other letter).
'reasonable' becomes 'logical' (similar in meaning).
The alternate letters of 'briton' are 'bio'.
'bio'+'logical'='BIOLOGICAL'
'and' acts as a link.
Can you help me to learn more?
(Other definitions for biological that I've seen before include "description of some detergents" , "Relating to living organisms" .)