Finding the Third Proportional to 10,442 and 21,977
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Solution
The third proportional to 10,442 and 21,977 is: 46,254.41
Step by Step Solution
- Step 1: Write the proportion equation
10,442 : 21,977 = 21,977 : x - Step 2: Convert to fraction form
10,442/21,977 = 21,977/x - Step 3: Cross multiply
10,442x = 21,977 × 21,977 - Step 4: Simplify right side
10,442x = 482,988,529 - Step 5: Solve for x
x = 482,988,529/10,442 - Step 6: Final answer
x = 46,254.41
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Why These Related Problems?
These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.