Finding the Third Proportional to 10,790 and 23,314
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Solution
The third proportional to 10,790 and 23,314 is: 50,374.66
Step by Step Solution
- Step 1: Write the proportion equation
10,790 : 23,314 = 23,314 : x - Step 2: Convert to fraction form
10,790/23,314 = 23,314/x - Step 3: Cross multiply
10,790x = 23,314 × 23,314 - Step 4: Simplify right side
10,790x = 543,542,596 - Step 5: Solve for x
x = 543,542,596/10,790 - Step 6: Final answer
x = 50,374.66
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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.