Finding the Third Proportional to 6,736 and 16,000
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Solution
The third proportional to 6,736 and 16,000 is: 38,004.75
Step by Step Solution
- Step 1: Write the proportion equation
6,736 : 16,000 = 16,000 : x - Step 2: Convert to fraction form
6,736/16,000 = 16,000/x - Step 3: Cross multiply
6,736x = 16,000 × 16,000 - Step 4: Simplify right side
6,736x = 256,000,000 - Step 5: Solve for x
x = 256,000,000/6,736 - Step 6: Final answer
x = 38,004.75
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Why These Related Problems?
These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.