Finding the Third Proportional to 10,209 and 14,450
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Solution
The third proportional to 10,209 and 14,450 is: 20,452.79
Step by Step Solution
- Step 1: Write the proportion equation
10,209 : 14,450 = 14,450 : x - Step 2: Convert to fraction form
10,209/14,450 = 14,450/x - Step 3: Cross multiply
10,209x = 14,450 × 14,450 - Step 4: Simplify right side
10,209x = 208,802,500 - Step 5: Solve for x
x = 208,802,500/10,209 - Step 6: Final answer
x = 20,452.79
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Why These Related Problems?
These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.