Finding the Third Proportional to 8,064 and 16,857
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Solution
The third proportional to 8,064 and 16,857 is: 35,237.90
Step by Step Solution
- Step 1: Write the proportion equation
8,064 : 16,857 = 16,857 : x - Step 2: Convert to fraction form
8,064/16,857 = 16,857/x - Step 3: Cross multiply
8,064x = 16,857 × 16,857 - Step 4: Simplify right side
8,064x = 284,158,449 - Step 5: Solve for x
x = 284,158,449/8,064 - Step 6: Final answer
x = 35,237.90
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Why These Related Problems?
These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.