Finding the Third Proportional to 9,998 and 22,300
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Solution
The third proportional to 9,998 and 22,300 is: 49,738.95
Step by Step Solution
- Step 1: Write the proportion equation
9,998 : 22,300 = 22,300 : x - Step 2: Convert to fraction form
9,998/22,300 = 22,300/x - Step 3: Cross multiply
9,998x = 22,300 × 22,300 - Step 4: Simplify right side
9,998x = 497,290,000 - Step 5: Solve for x
x = 497,290,000/9,998 - Step 6: Final answer
x = 49,738.95
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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.