Finding the Third Proportional to 10,446 and 21,756
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Solution
The third proportional to 10,446 and 21,756 is: 45,311.46
Step by Step Solution
- Step 1: Write the proportion equation
10,446 : 21,756 = 21,756 : x - Step 2: Convert to fraction form
10,446/21,756 = 21,756/x - Step 3: Cross multiply
10,446x = 21,756 × 21,756 - Step 4: Simplify right side
10,446x = 473,323,536 - Step 5: Solve for x
x = 473,323,536/10,446 - Step 6: Final answer
x = 45,311.46
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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.