Finding the Third Proportional to 849 and 1,021
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Solution
The third proportional to 849 and 1,021 is: 1,227.85
Step by Step Solution
- Step 1: Write the proportion equation
849 : 1,021 = 1,021 : x - Step 2: Convert to fraction form
849/1,021 = 1,021/x - Step 3: Cross multiply
849x = 1,021 × 1,021 - Step 4: Simplify right side
849x = 1,042,441 - Step 5: Solve for x
x = 1,042,441/849 - Step 6: Final answer
x = 1,227.85
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These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.