The phrase 'leads to another problem' is correct and usable in written English.
You can use it to indicate that one problem can cause an additional problem. For example, "The shortage of teachers leads to another problem - the quality of teaching becomes lower."
But this leads to another problem.
That culinary ignorance leads to another problem: "It's terrible to think of people not having a family meal," she said.
GM belatedly sees similar virtue in Opel.That leads to another problem: the Magna deal involves a rival.
This armchair method leads to another problem with the book: Ayres is simply too optimistic about the impact data analysis is having.
But for Brazil, a water shortage also leads to another problem: more than 75% of Brazil's power comes from hydroelectric sources, making it second only to China in reliance on hydroelectric power.
But this leads to another problem, since it leaves the central bank and the government, already the largest shareholder at several big banks, in control of an increasingly large amount of shares (though much of this is counted as shares held by trust banks).
But piling soil on can lead to another problem.
But this solution has led to another problem: the widening time gap.
The legitimate concern about video metrics could lead to another problem: over-correction.
But those that will help could lead to another problem: Their high cost could create an even bigger crisis for the U.S. health care system.
The complexity of supply chains for sophisticated electronics products has also led to another problem for Samsung this year, which was forced to cancel one of its flagship smartphones in October after defective batteries led to a small number of devices catching fire.
