Finding the Third Proportional to 10,436 and 21,734
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Solution
The third proportional to 10,436 and 21,734 is: 45,263.20
Step by Step Solution
- Step 1: Write the proportion equation
10,436 : 21,734 = 21,734 : x - Step 2: Convert to fraction form
10,436/21,734 = 21,734/x - Step 3: Cross multiply
10,436x = 21,734 × 21,734 - Step 4: Simplify right side
10,436x = 472,366,756 - Step 5: Solve for x
x = 472,366,756/10,436 - Step 6: Final answer
x = 45,263.20
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Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.