Finding the Third Proportional to 9,992 and 21,442
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Solution
The third proportional to 9,992 and 21,442 is: 46,012.75
Step by Step Solution
- Step 1: Write the proportion equation
9,992 : 21,442 = 21,442 : x - Step 2: Convert to fraction form
9,992/21,442 = 21,442/x - Step 3: Cross multiply
9,992x = 21,442 × 21,442 - Step 4: Simplify right side
9,992x = 459,759,364 - Step 5: Solve for x
x = 459,759,364/9,992 - Step 6: Final answer
x = 46,012.75
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.