Finding the Third Proportional to 6,982.75 and 14,683.63
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Solution
The third proportional to 6,982.75 and 14,683.63 is: 30,877.35
Step by Step Solution
- Step 1: Write the proportion equation
6,982.75 : 14,683.63 = 14,683.63 : x - Step 2: Convert to fraction form
6,982.75/14,683.63 = 14,683.63/x - Step 3: Cross multiply
6,982.75x = 14,683.63 × 14,683.63 - Step 4: Simplify right side
6,982.75x = 215,608,843.14 - Step 5: Solve for x
x = 215,608,843.14/6,982.75 - Step 6: Final answer
x = 30,877.35
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Why These Related Problems?
These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.