Finding the Third Proportional to 7,680 and 16,794
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Solution
The third proportional to 7,680 and 16,794 is: 36,723.75
Step by Step Solution
- Step 1: Write the proportion equation
7,680 : 16,794 = 16,794 : x - Step 2: Convert to fraction form
7,680/16,794 = 16,794/x - Step 3: Cross multiply
7,680x = 16,794 × 16,794 - Step 4: Simplify right side
7,680x = 282,038,436 - Step 5: Solve for x
x = 282,038,436/7,680 - Step 6: Final answer
x = 36,723.75
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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.