Finding the Third Proportional to 48,082 and 71,724
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Solution
The third proportional to 48,082 and 71,724 is: 106,990.81
Step by Step Solution
- Step 1: Write the proportion equation
48,082 : 71,724 = 71,724 : x - Step 2: Convert to fraction form
48,082/71,724 = 71,724/x - Step 3: Cross multiply
48,082x = 71,724 × 71,724 - Step 4: Simplify right side
48,082x = 5,144,332,176 - Step 5: Solve for x
x = 5,144,332,176/48,082 - Step 6: Final answer
x = 106,990.81
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.