Finding the Third Proportional to 7,839 and 16,878
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Solution
The third proportional to 7,839 and 16,878 is: 36,339.70
Step by Step Solution
- Step 1: Write the proportion equation
7,839 : 16,878 = 16,878 : x - Step 2: Convert to fraction form
7,839/16,878 = 16,878/x - Step 3: Cross multiply
7,839x = 16,878 × 16,878 - Step 4: Simplify right side
7,839x = 284,866,884 - Step 5: Solve for x
x = 284,866,884/7,839 - Step 6: Final answer
x = 36,339.70
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.