Finding the Third Proportional to 7,682 and 16,804
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Solution
The third proportional to 7,682 and 16,804 is: 36,757.93
Step by Step Solution
- Step 1: Write the proportion equation
7,682 : 16,804 = 16,804 : x - Step 2: Convert to fraction form
7,682/16,804 = 16,804/x - Step 3: Cross multiply
7,682x = 16,804 × 16,804 - Step 4: Simplify right side
7,682x = 282,374,416 - Step 5: Solve for x
x = 282,374,416/7,682 - Step 6: Final answer
x = 36,757.93
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.