Finding the Third Proportional to 9,844 and 14,766
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Solution
The third proportional to 9,844 and 14,766 is: 22,149
Step by Step Solution
- Step 1: Write the proportion equation
9,844 : 14,766 = 14,766 : x - Step 2: Convert to fraction form
9,844/14,766 = 14,766/x - Step 3: Cross multiply
9,844x = 14,766 × 14,766 - Step 4: Simplify right side
9,844x = 218,034,756 - Step 5: Solve for x
x = 218,034,756/9,844 - Step 6: Final answer
x = 22,149
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.