Finding the Third Proportional to 820 and 2,032
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Solution
The third proportional to 820 and 2,032 is: 5,035.40
Step by Step Solution
- Step 1: Write the proportion equation
820 : 2,032 = 2,032 : x - Step 2: Convert to fraction form
820/2,032 = 2,032/x - Step 3: Cross multiply
820x = 2,032 × 2,032 - Step 4: Simplify right side
820x = 4,129,024 - Step 5: Solve for x
x = 4,129,024/820 - Step 6: Final answer
x = 5,035.40
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These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.