Finding the Third Proportional to 6,756 and 9,662
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Solution
The third proportional to 6,756 and 9,662 is: 13,817.98
Step by Step Solution
- Step 1: Write the proportion equation
6,756 : 9,662 = 9,662 : x - Step 2: Convert to fraction form
6,756/9,662 = 9,662/x - Step 3: Cross multiply
6,756x = 9,662 × 9,662 - Step 4: Simplify right side
6,756x = 93,354,244 - Step 5: Solve for x
x = 93,354,244/6,756 - Step 6: Final answer
x = 13,817.98
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Why These Related Problems?
These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.