Finding the Third Proportional to 6,192 and 14,000
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Solution
The third proportional to 6,192 and 14,000 is: 31,653.75
Step by Step Solution
- Step 1: Write the proportion equation
6,192 : 14,000 = 14,000 : x - Step 2: Convert to fraction form
6,192/14,000 = 14,000/x - Step 3: Cross multiply
6,192x = 14,000 × 14,000 - Step 4: Simplify right side
6,192x = 196,000,000 - Step 5: Solve for x
x = 196,000,000/6,192 - Step 6: Final answer
x = 31,653.75
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.