Finding the Third Proportional to 9,884 and 12,826
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Solution
The third proportional to 9,884 and 12,826 is: 16,643.69
Step by Step Solution
- Step 1: Write the proportion equation
9,884 : 12,826 = 12,826 : x - Step 2: Convert to fraction form
9,884/12,826 = 12,826/x - Step 3: Cross multiply
9,884x = 12,826 × 12,826 - Step 4: Simplify right side
9,884x = 164,506,276 - Step 5: Solve for x
x = 164,506,276/9,884 - Step 6: Final answer
x = 16,643.69
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Why These Related Problems?
These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.