Finding the Third Proportional to 30.75 and 45
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Solution
The third proportional to 30.75 and 45 is: 65.85
Step by Step Solution
- Step 1: Write the proportion equation
30.75 : 45 = 45 : x - Step 2: Convert to fraction form
30.75/45 = 45/x - Step 3: Cross multiply
30.75x = 45 × 45 - Step 4: Simplify right side
30.75x = 2,025 - Step 5: Solve for x
x = 2,025/30.75 - Step 6: Final answer
x = 65.85
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.