Finding the Third Proportional to 9,808 and 23,144
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Solution
The third proportional to 9,808 and 23,144 is: 54,613.04
Step by Step Solution
- Step 1: Write the proportion equation
9,808 : 23,144 = 23,144 : x - Step 2: Convert to fraction form
9,808/23,144 = 23,144/x - Step 3: Cross multiply
9,808x = 23,144 × 23,144 - Step 4: Simplify right side
9,808x = 535,644,736 - Step 5: Solve for x
x = 535,644,736/9,808 - Step 6: Final answer
x = 54,613.04
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Why These Related Problems?
These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.