Finding the Third Proportional to 6,365.25 and 13,986
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Solution
The third proportional to 6,365.25 and 13,986 is: 30,730.64
Step by Step Solution
- Step 1: Write the proportion equation
6,365.25 : 13,986 = 13,986 : x - Step 2: Convert to fraction form
6,365.25/13,986 = 13,986/x - Step 3: Cross multiply
6,365.25x = 13,986 × 13,986 - Step 4: Simplify right side
6,365.25x = 195,608,196 - Step 5: Solve for x
x = 195,608,196/6,365.25 - Step 6: Final answer
x = 30,730.64
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.