Finding the Third Proportional to 10,922 and 24,104
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Solution
The third proportional to 10,922 and 24,104 is: 53,195.64
Step by Step Solution
- Step 1: Write the proportion equation
10,922 : 24,104 = 24,104 : x - Step 2: Convert to fraction form
10,922/24,104 = 24,104/x - Step 3: Cross multiply
10,922x = 24,104 × 24,104 - Step 4: Simplify right side
10,922x = 581,002,816 - Step 5: Solve for x
x = 581,002,816/10,922 - Step 6: Final answer
x = 53,195.64
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Why These Related Problems?
These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.