Finding the Third Proportional to 3,882 and 8,202
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Solution
The third proportional to 3,882 and 8,202 is: 17,329.42
Step by Step Solution
- Step 1: Write the proportion equation
3,882 : 8,202 = 8,202 : x - Step 2: Convert to fraction form
3,882/8,202 = 8,202/x - Step 3: Cross multiply
3,882x = 8,202 × 8,202 - Step 4: Simplify right side
3,882x = 67,272,804 - Step 5: Solve for x
x = 67,272,804/3,882 - Step 6: Final answer
x = 17,329.42
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Why These Related Problems?
These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.