Finding the Third Proportional to 9,856 and 25,936
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Solution
The third proportional to 9,856 and 25,936 is: 68,250.42
Step by Step Solution
- Step 1: Write the proportion equation
9,856 : 25,936 = 25,936 : x - Step 2: Convert to fraction form
9,856/25,936 = 25,936/x - Step 3: Cross multiply
9,856x = 25,936 × 25,936 - Step 4: Simplify right side
9,856x = 672,676,096 - Step 5: Solve for x
x = 672,676,096/9,856 - Step 6: Final answer
x = 68,250.42
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Why These Related Problems?
These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.