Finding the Third Proportional to 17,736 and 27,828
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Solution
The third proportional to 17,736 and 27,828 is: 43,662.47
Step by Step Solution
- Step 1: Write the proportion equation
17,736 : 27,828 = 27,828 : x - Step 2: Convert to fraction form
17,736/27,828 = 27,828/x - Step 3: Cross multiply
17,736x = 27,828 × 27,828 - Step 4: Simplify right side
17,736x = 774,397,584 - Step 5: Solve for x
x = 774,397,584/17,736 - Step 6: Final answer
x = 43,662.47
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Why These Related Problems?
These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.