Finding the Third Proportional to 27,782 and 41,676
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Solution
The third proportional to 27,782 and 41,676 is: 62,518.50
Step by Step Solution
- Step 1: Write the proportion equation
27,782 : 41,676 = 41,676 : x - Step 2: Convert to fraction form
27,782/41,676 = 41,676/x - Step 3: Cross multiply
27,782x = 41,676 × 41,676 - Step 4: Simplify right side
27,782x = 1,736,888,976 - Step 5: Solve for x
x = 1,736,888,976/27,782 - Step 6: Final answer
x = 62,518.50
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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.