Finding the Third Proportional to 8,082 and 10,970
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Solution
The third proportional to 8,082 and 10,970 is: 14,889.99
Step by Step Solution
- Step 1: Write the proportion equation
8,082 : 10,970 = 10,970 : x - Step 2: Convert to fraction form
8,082/10,970 = 10,970/x - Step 3: Cross multiply
8,082x = 10,970 × 10,970 - Step 4: Simplify right side
8,082x = 120,340,900 - Step 5: Solve for x
x = 120,340,900/8,082 - Step 6: Final answer
x = 14,889.99
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Why These Related Problems?
These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.