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Companies were able to work through existing orders more quickly because of the easing of supply snarls.
In the most recent month for which data are available, production rose 0.7% in June, compared with a median estimate for a small gain. The growth in May was more than double what was originally reported.
According to Friday's figures from Eurostat, the currency bloc's economy is holding up despite record inflation and the increasing likelihood of energy rationing during the winter.
The last good quarter for the euro area is expected to be between April and June. A recession is predicted later this year.
The lack of chips has led to supply-chain disruptions in the automotive industry. Consumers are squeezed by inflation but many still see healthy demand.
Capital goods production increased in May and June.