Finding the Third Proportional to 3,896 and 8,546
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Solution
The third proportional to 3,896 and 8,546 is: 18,745.92
Step by Step Solution
- Step 1: Write the proportion equation
3,896 : 8,546 = 8,546 : x - Step 2: Convert to fraction form
3,896/8,546 = 8,546/x - Step 3: Cross multiply
3,896x = 8,546 × 8,546 - Step 4: Simplify right side
3,896x = 73,034,116 - Step 5: Solve for x
x = 73,034,116/3,896 - Step 6: Final answer
x = 18,745.92
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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.