Finding the Third Proportional to 825 and 930
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Solution
The third proportional to 825 and 930 is: 1,048.36
Step by Step Solution
- Step 1: Write the proportion equation
825 : 930 = 930 : x - Step 2: Convert to fraction form
825/930 = 930/x - Step 3: Cross multiply
825x = 930 × 930 - Step 4: Simplify right side
825x = 864,900 - Step 5: Solve for x
x = 864,900/825 - Step 6: Final answer
x = 1,048.36
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Why These Related Problems?
These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.