Finding the Third Proportional to 825 and 1,101
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Solution
The third proportional to 825 and 1,101 is: 1,469.33
Step by Step Solution
- Step 1: Write the proportion equation
825 : 1,101 = 1,101 : x - Step 2: Convert to fraction form
825/1,101 = 1,101/x - Step 3: Cross multiply
825x = 1,101 × 1,101 - Step 4: Simplify right side
825x = 1,212,201 - Step 5: Solve for x
x = 1,212,201/825 - Step 6: Final answer
x = 1,469.33
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Why These Related Problems?
These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.