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"Porbeagles are not naturally aggressive towards humans, though there are reports of people being bitten when trying to help them back to sea."
Sophie Griffiths, 35, from Aberystwyth, said her nine-year-old son had been swimming in the sea not long after school had finished when they were alerted, along with a group of paddleboarders.
"I heard someone say 'shark' and thought it was just a hoax," she said.
"Everyone had a bit of a shock.
"It's a first for me seeing the shark. I'm 35, born and raised in Aberystwyth."