Finding the Third Proportional to 830 and 886
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Solution
The third proportional to 830 and 886 is: 945.78
Step by Step Solution
- Step 1: Write the proportion equation
830 : 886 = 886 : x - Step 2: Convert to fraction form
830/886 = 886/x - Step 3: Cross multiply
830x = 886 × 886 - Step 4: Simplify right side
830x = 784,996 - Step 5: Solve for x
x = 784,996/830 - Step 6: Final answer
x = 945.78
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Why These Related Problems?
These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.