如果ab:bc:ac=10:12:15,那么a:b:c等于什么?",ԾㅂԾ,"要写准确,",ԾㅂԾ,"

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如果ab:bc:ac=10:12:15,那么a:b:c等于什么?

如果ab:bc:ac=10:12:15,那么a:b:c等于什么?",ԾㅂԾ,"要写准确,",ԾㅂԾ,"
如果ab:bc:ac=10:12:15,那么a:b:c等于什么?
",ԾㅂԾ,"
要写准确,",ԾㅂԾ,"

如果ab:bc:ac=10:12:15,那么a:b:c等于什么?",ԾㅂԾ,"要写准确,",ԾㅂԾ,"

设a:b:c=x:y:z
则(ab:bc:ac)/(a:b:c)=b:c:a=(10/x):(12/y):(15/z)
且b:c:a=y:z:x
所以(10/x):(12/y):(15/z)=y:z:x
解得x:y:z=5:4:6
即a:b:c=5:4:6
数学辅导团专业解答!

ab:bc=10:12
a:c=10:12
ab:ac=10:15
b:c=10:15
a:b:c=5:4:6

a=5
b=4
c=6

ab:bc:ac=ab/abc:bc/abc:ac/abc=1/c:1/a:1/b=10:12:15;
设1/c=10k,1/a=12k,1/b=15k,
则c=1/10k,a=1/12k,b=1/15k;
所以a:b:c=1/12k:1/15k:1/10k=1/12:1/15:1/10=5:4:6