Finding the Third Proportional to 820 and 1,648
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Solution
The third proportional to 820 and 1,648 is: 3,312.08
Step by Step Solution
- Step 1: Write the proportion equation
820 : 1,648 = 1,648 : x - Step 2: Convert to fraction form
820/1,648 = 1,648/x - Step 3: Cross multiply
820x = 1,648 × 1,648 - Step 4: Simplify right side
820x = 2,715,904 - Step 5: Solve for x
x = 2,715,904/820 - Step 6: Final answer
x = 3,312.08
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These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.