Finding the Third Proportional to 30.38 and 40.50
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Solution
The third proportional to 30.38 and 40.50 is: 54
Step by Step Solution
- Step 1: Write the proportion equation
30.38 : 40.50 = 40.50 : x - Step 2: Convert to fraction form
30.38/40.50 = 40.50/x - Step 3: Cross multiply
30.38x = 40.50 × 40.50 - Step 4: Simplify right side
30.38x = 1,640.25 - Step 5: Solve for x
x = 1,640.25/30.38 - Step 6: Final answer
x = 54
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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.