Finding the Third Proportional to 9,742 and 20,698
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Solution
The third proportional to 9,742 and 20,698 is: 43,975.28
Step by Step Solution
- Step 1: Write the proportion equation
9,742 : 20,698 = 20,698 : x - Step 2: Convert to fraction form
9,742/20,698 = 20,698/x - Step 3: Cross multiply
9,742x = 20,698 × 20,698 - Step 4: Simplify right side
9,742x = 428,407,204 - Step 5: Solve for x
x = 428,407,204/9,742 - Step 6: Final answer
x = 43,975.28
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.