Finding the Third Proportional to 21,564 and 32,922
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Solution
The third proportional to 21,564 and 32,922 is: 50,262.39
Step by Step Solution
- Step 1: Write the proportion equation
21,564 : 32,922 = 32,922 : x - Step 2: Convert to fraction form
21,564/32,922 = 32,922/x - Step 3: Cross multiply
21,564x = 32,922 × 32,922 - Step 4: Simplify right side
21,564x = 1,083,858,084 - Step 5: Solve for x
x = 1,083,858,084/21,564 - Step 6: Final answer
x = 50,262.39
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Why These Related Problems?
These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.