Finding the Third Proportional to 992 and 1,849
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Solution
The third proportional to 992 and 1,849 is: 3,446.37
Step by Step Solution
- Step 1: Write the proportion equation
992 : 1,849 = 1,849 : x - Step 2: Convert to fraction form
992/1,849 = 1,849/x - Step 3: Cross multiply
992x = 1,849 × 1,849 - Step 4: Simplify right side
992x = 3,418,801 - Step 5: Solve for x
x = 3,418,801/992 - Step 6: Final answer
x = 3,446.37
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These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.