Finding the Third Proportional to 8,124 and 19,578
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Solution
The third proportional to 8,124 and 19,578 is: 47,180.96
Step by Step Solution
- Step 1: Write the proportion equation
8,124 : 19,578 = 19,578 : x - Step 2: Convert to fraction form
8,124/19,578 = 19,578/x - Step 3: Cross multiply
8,124x = 19,578 × 19,578 - Step 4: Simplify right side
8,124x = 383,298,084 - Step 5: Solve for x
x = 383,298,084/8,124 - Step 6: Final answer
x = 47,180.96
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Why These Related Problems?
These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.