At the time it was unknown what the reason for Ramos running off was but, with head coach Zinedine Zidane having already made three substitutions, the 31-year-old returned to the action five minutes later.
Real Madrid's Cristiano Ronaldo celebrates his second goal beside Lucas Vazquez after scoring during the Spanish La Liga soccer match between Real Madrid and SD Eibar at Ipurua stadium, in Eibar, northern Spain, Saturday, March 10, 2018.
A sloppy pass out from the back by Anaitz Arbilla conceded possession to Luka Modric who quickly picked out Ronaldo with a sublime bending pass. Ronaldo chested the ball down and slammed it in at the near post.
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Ramos had earlier been at fault for ex-Wigan defender Ivan Ramis' equalising goal.
In front, Real improved but five minutes into the second half and Eibar were level.
It happens to the best of them, just ask Gary Lineker. They are two points behind the European places.
Joan Jordan also squandered a headed opportunity after meeting Leon's outswinging free kick but as the first half progressed, Real began to stamp their authority on the fixture.
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The visitors eventually took the lead in the 34th minute through Cristiano Ronaldo's close-range finish from 12-yards out.
But Ronaldo's two goals mean he has now scored in seven consecutive games and boasts a remarkable 13 goals overall in that period.
Kike had a chance to give his side the lead with 10 minutes to go before stoppage time, but lost control of the ball.
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The home side even had a chance to break the scoreless deadlock in the 18th minute, but Real's goalkeeper Keylor Navas managed to block Kike's powerful shot.