Finding the Third Proportional to 7,872.25 and 16,107.75
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Solution
The third proportional to 7,872.25 and 16,107.75 is: 32,958.76
Step by Step Solution
- Step 1: Write the proportion equation
7,872.25 : 16,107.75 = 16,107.75 : x - Step 2: Convert to fraction form
7,872.25/16,107.75 = 16,107.75/x - Step 3: Cross multiply
7,872.25x = 16,107.75 × 16,107.75 - Step 4: Simplify right side
7,872.25x = 259,459,610.06 - Step 5: Solve for x
x = 259,459,610.06/7,872.25 - Step 6: Final answer
x = 32,958.76
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Why These Related Problems?
These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.