Finding the Third Proportional to 5,832 and 6,696
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Solution
The third proportional to 5,832 and 6,696 is: 7,688
Step by Step Solution
- Step 1: Write the proportion equation
5,832 : 6,696 = 6,696 : x - Step 2: Convert to fraction form
5,832/6,696 = 6,696/x - Step 3: Cross multiply
5,832x = 6,696 × 6,696 - Step 4: Simplify right side
5,832x = 44,836,416 - Step 5: Solve for x
x = 44,836,416/5,832 - Step 6: Final answer
x = 7,688
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Why These Related Problems?
These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.