Finding the Third Proportional to 9,812 and 23,162
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Solution
The third proportional to 9,812 and 23,162 is: 54,675.73
Step by Step Solution
- Step 1: Write the proportion equation
9,812 : 23,162 = 23,162 : x - Step 2: Convert to fraction form
9,812/23,162 = 23,162/x - Step 3: Cross multiply
9,812x = 23,162 × 23,162 - Step 4: Simplify right side
9,812x = 536,478,244 - Step 5: Solve for x
x = 536,478,244/9,812 - Step 6: Final answer
x = 54,675.73
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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.