Finding the Third Proportional to 6 and 6.50
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Solution
The third proportional to 6 and 6.50 is: 7.04
Step by Step Solution
- Step 1: Write the proportion equation
6 : 6.50 = 6.50 : x - Step 2: Convert to fraction form
6/6.50 = 6.50/x - Step 3: Cross multiply
6x = 6.50 × 6.50 - Step 4: Simplify right side
6x = 42.25 - Step 5: Solve for x
x = 42.25/6 - Step 6: Final answer
x = 7.04
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Why These Related Problems?
These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.