Finding the Third Proportional to 17,728 and 27,804
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Solution
The third proportional to 17,728 and 27,804 is: 43,606.86
Step by Step Solution
- Step 1: Write the proportion equation
17,728 : 27,804 = 27,804 : x - Step 2: Convert to fraction form
17,728/27,804 = 27,804/x - Step 3: Cross multiply
17,728x = 27,804 × 27,804 - Step 4: Simplify right side
17,728x = 773,062,416 - Step 5: Solve for x
x = 773,062,416/17,728 - Step 6: Final answer
x = 43,606.86
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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.