Finding the Third Proportional to 7,586 and 8,386
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Solution
The third proportional to 7,586 and 8,386 is: 9,270.37
Step by Step Solution
- Step 1: Write the proportion equation
7,586 : 8,386 = 8,386 : x - Step 2: Convert to fraction form
7,586/8,386 = 8,386/x - Step 3: Cross multiply
7,586x = 8,386 × 8,386 - Step 4: Simplify right side
7,586x = 70,324,996 - Step 5: Solve for x
x = 70,324,996/7,586 - Step 6: Final answer
x = 9,270.37
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Why These Related Problems?
These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.