Finding the Third Proportional to 23,568 and 27,744
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Solution
The third proportional to 23,568 and 27,744 is: 32,659.94
Step by Step Solution
- Step 1: Write the proportion equation
23,568 : 27,744 = 27,744 : x - Step 2: Convert to fraction form
23,568/27,744 = 27,744/x - Step 3: Cross multiply
23,568x = 27,744 × 27,744 - Step 4: Simplify right side
23,568x = 769,729,536 - Step 5: Solve for x
x = 769,729,536/23,568 - Step 6: Final answer
x = 32,659.94
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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.