Finding the Third Proportional to 8,075 and 16,447
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Solution
The third proportional to 8,075 and 16,447 is: 33,498.92
Step by Step Solution
- Step 1: Write the proportion equation
8,075 : 16,447 = 16,447 : x - Step 2: Convert to fraction form
8,075/16,447 = 16,447/x - Step 3: Cross multiply
8,075x = 16,447 × 16,447 - Step 4: Simplify right side
8,075x = 270,503,809 - Step 5: Solve for x
x = 270,503,809/8,075 - Step 6: Final answer
x = 33,498.92
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Why These Related Problems?
These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.