Let's go through the problem step-by-step to find the total length of all the wood beams in yards.
1. Determine the total length in feet:
Each beam is [tex]\(24.3\)[/tex] feet long. There are [tex]\(75\)[/tex] beams. To find the total length of all beams combined, we multiply the length of one beam by the number of beams:
[tex]\[
\text{Total length in feet} = 75 \times 24.3
\][/tex]
2. Calculate the product:
[tex]\[
75 \times 24.3 = 1822.5 \text{ feet}
\][/tex]
So, the total length of all the beams combined is [tex]\(1822.5\)[/tex] feet.
3. Convert the total length from feet to yards:
According to the conversion facts, [tex]\(3\)[/tex] feet are equivalent to [tex]\(1\)[/tex] yard. To convert feet to yards, we divide the total length in feet by [tex]\(3\)[/tex]:
[tex]\[
\text{Total length in yards} = \frac{1822.5}{3}
\][/tex]
4. Perform the division:
[tex]\[
\frac{1822.5}{3} = 607.5 \text{ yards}
\][/tex]
So, the total length of all the beams put together is [tex]\(\boxed{607.5}\)[/tex] yards.
