Finding the Third Proportional to 2,619 and 5,724
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Solution
The third proportional to 2,619 and 5,724 is: 12,510.19
Step by Step Solution
- Step 1: Write the proportion equation
2,619 : 5,724 = 5,724 : x - Step 2: Convert to fraction form
2,619/5,724 = 5,724/x - Step 3: Cross multiply
2,619x = 5,724 × 5,724 - Step 4: Simplify right side
2,619x = 32,764,176 - Step 5: Solve for x
x = 32,764,176/2,619 - Step 6: Final answer
x = 12,510.19
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.