Final answer:
To find the missing number in a multiplication triangle, divide the number in the rectangle by the known base number or use inverse operations to work backward when the other two numbers are known.
Step-by-step explanation:
The student's question involves solving a multiplication puzzle, where they need to determine the missing number in a triangle that represents the relationship between three numbers. The numbers at the base of the triangle multiply together to yield the number inside the rectangle. In the given sequence, if two of the three numbers are provided, the third number can be found by using division or multiplication principles. To solve the puzzle, identify the two base numbers that should multiply to get the number inside the rectangle, then either divide the rectangle's number by one of the known base numbers or use inverse operations like reciprocals to find the missing value.
Let's take the example of a triangle where the rectangle number is 69, and one of the base numbers is 3. To find the missing base number, we would divide 69 by 3, which equals 23. Similarly, if the rectangle number is 1824, and one base number is 24, then the missing base number is 1824 divided by 24, which equals 76. If the base numbers are 24 and some missing number x that results in the rectangle number being 5244, we would divide 5244 by 24, which gives us the solution for x.