Both victims - one of them just 12 years old - were still in hospital Sunday after being mauled in separate incidents just a day apart earlier this week at the Whitsunday Islands.
Drum lines, which use baited hooks to catch the predators, ensnared three tiger sharks - one 3.3 metres long and the others each in excess of two metres - a Fisheries Queensland spokesperson said Sunday.
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"While sharks of this size are potentially very dangerous to humans, it is unclear if they were responsible for injuries caused to two swimmers this week," he said.
"The shark carcasses will be towed well out to sea for disposal."
The spokesperson added that the drumlines would remain in place over the next week to reduce the risk to swimmers.
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Shark attacks are very rare in the Whitsundays - a collection of spectacular tropical islands in the heart of the Barrier Reef - with the last encounter reported to be eight years ago, according to national broadcaster ABC.
This week's incidents have revived debate about how best to reduce the risk of encounters between sharks and the growing number of people using the ocean for leisure.
Many conservationists and marine scientists object to killing sharks, and insist that drum lines are a blunt instrument because they often catch other creatures.
New South Wales, the country's most populous state, has trialed non-lethal measures such as aerial drones to track sharks' movements and 'smart' drum lines that alert authorities to their presence.
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