Finding the Third Proportional to 830 and 1,907
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Solution
The third proportional to 830 and 1,907 is: 4,381.50
Step by Step Solution
- Step 1: Write the proportion equation
830 : 1,907 = 1,907 : x - Step 2: Convert to fraction form
830/1,907 = 1,907/x - Step 3: Cross multiply
830x = 1,907 × 1,907 - Step 4: Simplify right side
830x = 3,636,649 - Step 5: Solve for x
x = 3,636,649/830 - Step 6: Final answer
x = 4,381.50
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Why These Related Problems?
These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.