Finding the Third Proportional to 12,744 and 16,756
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Solution
The third proportional to 12,744 and 16,756 is: 22,031.04
Step by Step Solution
- Step 1: Write the proportion equation
12,744 : 16,756 = 16,756 : x - Step 2: Convert to fraction form
12,744/16,756 = 16,756/x - Step 3: Cross multiply
12,744x = 16,756 × 16,756 - Step 4: Simplify right side
12,744x = 280,763,536 - Step 5: Solve for x
x = 280,763,536/12,744 - Step 6: Final answer
x = 22,031.04
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Why These Related Problems?
These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.