Question

Из чисел 6,6,3,12 составьте пропорцию 3:...=

Answer 1

Ответ:

6 : 3 = 12 : 6

3 : 6 = 6 : 12

Пошаговое объяснение:

Основное свойство пропорции :

произведение крайних членов , равно произведению средних членов .

Даны числа : 6 , 6, 3, и 12

Найдем все возможные произведения двух чисел из  предложенных и те , которые будут совпадать дадут нам пропорцию .

6 * 6 = 36

6 * 3 = 18

6 * 12 = 72

3 * 12 = 36

как видим , условию удовлетворяют только пары чисел :

6 * 6 = 36   и 3 * 12 = 36

Это и будут крайние и средние члены пропорции :

6 : 3 = 12 : 6

3 : 6 = 6 : 12

Answer 2

To create a proportion using the numbers 6, 6, 3, and 12, we need to find the missing term that completes the proportion in the form of 3:...=.

First, we can simplify the given numbers by dividing them by their greatest common divisor (GCD), which is 3 in this case. The simplified numbers are: 6 ÷ 3 = 2, 6 ÷ 3 = 2, 3 ÷ 3 = 1, and 12 ÷ 3 = 4.

Now we have the simplified numbers 2, 2, 1, and 4. Let's represent the missing term as "x" to complete the proportion:

3: x = 2: 4

To find the missing term "x," we can cross-multiply and solve for it:

3 * 4 = 2 * x

12 = 2x

Dividing both sides of the equation by 2:

12 ÷ 2 = 2x ÷ 2

6 = x

Therefore, the missing term "x" is 6. The completed proportion is:

3: 6 = 2: 4