Finding the Third Proportional to 1,192 and 1,674
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Solution
The third proportional to 1,192 and 1,674 is: 2,350.90
Step by Step Solution
- Step 1: Write the proportion equation
1,192 : 1,674 = 1,674 : x - Step 2: Convert to fraction form
1,192/1,674 = 1,674/x - Step 3: Cross multiply
1,192x = 1,674 × 1,674 - Step 4: Simplify right side
1,192x = 2,802,276 - Step 5: Solve for x
x = 2,802,276/1,192 - Step 6: Final answer
x = 2,350.90
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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.