Finding the Third Proportional to 5,739.75 and 12,570.75
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Solution
The third proportional to 5,739.75 and 12,570.75 is: 27,531.47
Step by Step Solution
- Step 1: Write the proportion equation
5,739.75 : 12,570.75 = 12,570.75 : x - Step 2: Convert to fraction form
5,739.75/12,570.75 = 12,570.75/x - Step 3: Cross multiply
5,739.75x = 12,570.75 × 12,570.75 - Step 4: Simplify right side
5,739.75x = 158,023,755.56 - Step 5: Solve for x
x = 158,023,755.56/5,739.75 - Step 6: Final answer
x = 27,531.47
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.