Finding the Third Proportional to 2,192 and 4,174
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Solution
The third proportional to 2,192 and 4,174 is: 7,948.12
Step by Step Solution
- Step 1: Write the proportion equation
2,192 : 4,174 = 4,174 : x - Step 2: Convert to fraction form
2,192/4,174 = 4,174/x - Step 3: Cross multiply
2,192x = 4,174 × 4,174 - Step 4: Simplify right side
2,192x = 17,422,276 - Step 5: Solve for x
x = 17,422,276/2,192 - Step 6: Final answer
x = 7,948.12
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Why These Related Problems?
These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.