Finding the Third Proportional to 5,826 and 12,744
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Solution
The third proportional to 5,826 and 12,744 is: 27,876.68
Step by Step Solution
- Step 1: Write the proportion equation
5,826 : 12,744 = 12,744 : x - Step 2: Convert to fraction form
5,826/12,744 = 12,744/x - Step 3: Cross multiply
5,826x = 12,744 × 12,744 - Step 4: Simplify right side
5,826x = 162,409,536 - Step 5: Solve for x
x = 162,409,536/5,826 - Step 6: Final answer
x = 27,876.68
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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.