On October 1, 2006, at a certain elementary school, the ratio of the number of students to the number of teachers was 34 to 1. By October 1, 2007, the number of students had increased by 5 percent and the number of teachers had increased by 2 percent from the previous year. What was the ratio of the number of students to the number of teachers at the school on October 1, 2007 ?
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