Finding the Third Proportional to 9,992 and 22,288
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Solution
The third proportional to 9,992 and 22,288 is: 49,715.27
Step by Step Solution
- Step 1: Write the proportion equation
9,992 : 22,288 = 22,288 : x - Step 2: Convert to fraction form
9,992/22,288 = 22,288/x - Step 3: Cross multiply
9,992x = 22,288 × 22,288 - Step 4: Simplify right side
9,992x = 496,754,944 - Step 5: Solve for x
x = 496,754,944/9,992 - Step 6: Final answer
x = 49,715.27
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.