Finding the Third Proportional to 17,514 and 37,941
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Solution
The third proportional to 17,514 and 37,941 is: 82,192.50
Step by Step Solution
- Step 1: Write the proportion equation
17,514 : 37,941 = 37,941 : x - Step 2: Convert to fraction form
17,514/37,941 = 37,941/x - Step 3: Cross multiply
17,514x = 37,941 × 37,941 - Step 4: Simplify right side
17,514x = 1,439,519,481 - Step 5: Solve for x
x = 1,439,519,481/17,514 - Step 6: Final answer
x = 82,192.50
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1.5x scale
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.