Finding the Third Proportional to 11,286 and 22,846
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Solution
The third proportional to 11,286 and 22,846 is: 46,246.65
Step by Step Solution
- Step 1: Write the proportion equation
11,286 : 22,846 = 22,846 : x - Step 2: Convert to fraction form
11,286/22,846 = 22,846/x - Step 3: Cross multiply
11,286x = 22,846 × 22,846 - Step 4: Simplify right side
11,286x = 521,939,716 - Step 5: Solve for x
x = 521,939,716/11,286 - Step 6: Final answer
x = 46,246.65
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Why These Related Problems?
These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.