Finding the Third Proportional to 21,406 and 45,998
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Solution
The third proportional to 21,406 and 45,998 is: 98,842.19
Step by Step Solution
- Step 1: Write the proportion equation
21,406 : 45,998 = 45,998 : x - Step 2: Convert to fraction form
21,406/45,998 = 45,998/x - Step 3: Cross multiply
21,406x = 45,998 × 45,998 - Step 4: Simplify right side
21,406x = 2,115,816,004 - Step 5: Solve for x
x = 2,115,816,004/21,406 - Step 6: Final answer
x = 98,842.19
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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.