Finding the Third Proportional to 8,256 and 16,920
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Solution
The third proportional to 8,256 and 16,920 is: 34,676.16
Step by Step Solution
- Step 1: Write the proportion equation
8,256 : 16,920 = 16,920 : x - Step 2: Convert to fraction form
8,256/16,920 = 16,920/x - Step 3: Cross multiply
8,256x = 16,920 × 16,920 - Step 4: Simplify right side
8,256x = 286,286,400 - Step 5: Solve for x
x = 286,286,400/8,256 - Step 6: Final answer
x = 34,676.16
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Why These Related Problems?
These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.