Finding the Third Proportional to 10,977 and 23,670
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Solution
The third proportional to 10,977 and 23,670 is: 51,040.26
Step by Step Solution
- Step 1: Write the proportion equation
10,977 : 23,670 = 23,670 : x - Step 2: Convert to fraction form
10,977/23,670 = 23,670/x - Step 3: Cross multiply
10,977x = 23,670 × 23,670 - Step 4: Simplify right side
10,977x = 560,268,900 - Step 5: Solve for x
x = 560,268,900/10,977 - Step 6: Final answer
x = 51,040.26
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.