Finding the Third Proportional to 17,804 and 27,744
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Solution
The third proportional to 17,804 and 27,744 is: 43,233.52
Step by Step Solution
- Step 1: Write the proportion equation
17,804 : 27,744 = 27,744 : x - Step 2: Convert to fraction form
17,804/27,744 = 27,744/x - Step 3: Cross multiply
17,804x = 27,744 × 27,744 - Step 4: Simplify right side
17,804x = 769,729,536 - Step 5: Solve for x
x = 769,729,536/17,804 - Step 6: Final answer
x = 43,233.52
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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.