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Answer:
The third term of a proportional will be: 84
Step-by-step explanation:
We know that if a, b, c and d are in proportion, then:
[tex]\:\:a\:\times \:d\:=\:b\:\times \:c[/tex]
In our case, we are given the first, second, and fourth terms are [tex]24, 36, 126[/tex]
[tex]a = 24[/tex]
[tex]b = 36[/tex]
[tex]d = 126[/tex]
and we have to determine the third term 'c'.
as we know that if a, b, c, and d are in proportion, then:
[tex]\:\:a\:\times \:d\:=\:b\:\times \:c[/tex]
Thus,
substituting a = 24, b = 36, d = 126 to determine
[tex]24\:\times \:126\:=\:36\:\times \:c[/tex]
[tex]c=\frac{24\:\times \:\:126}{36}[/tex]
[tex]c=\frac{3024}{36}[/tex]
[tex]c = 84[/tex]
Thus, the third term of a proportional will be: 84