Finding the Third Proportional to 27,826 and 41,731
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Solution
The third proportional to 27,826 and 41,731 is: 62,584.50
Step by Step Solution
- Step 1: Write the proportion equation
27,826 : 41,731 = 41,731 : x - Step 2: Convert to fraction form
27,826/41,731 = 41,731/x - Step 3: Cross multiply
27,826x = 41,731 × 41,731 - Step 4: Simplify right side
27,826x = 1,741,476,361 - Step 5: Solve for x
x = 1,741,476,361/27,826 - Step 6: Final answer
x = 62,584.50
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.