Finding the Third Proportional to 6,912 and 14,976
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Solution
The third proportional to 6,912 and 14,976 is: 32,448
Step by Step Solution
- Step 1: Write the proportion equation
6,912 : 14,976 = 14,976 : x - Step 2: Convert to fraction form
6,912/14,976 = 14,976/x - Step 3: Cross multiply
6,912x = 14,976 × 14,976 - Step 4: Simplify right side
6,912x = 224,280,576 - Step 5: Solve for x
x = 224,280,576/6,912 - Step 6: Final answer
x = 32,448
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.