Finding the Third Proportional to 5,784 and 11,568
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Solution
The third proportional to 5,784 and 11,568 is: 23,136
Step by Step Solution
- Step 1: Write the proportion equation
5,784 : 11,568 = 11,568 : x - Step 2: Convert to fraction form
5,784/11,568 = 11,568/x - Step 3: Cross multiply
5,784x = 11,568 × 11,568 - Step 4: Simplify right side
5,784x = 133,818,624 - Step 5: Solve for x
x = 133,818,624/5,784 - Step 6: Final answer
x = 23,136
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Why These Related Problems?
These problems maintain the same ratio (2) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.