Finding the Third Proportional to 9,380 and 14,638
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Solution
The third proportional to 9,380 and 14,638 is: 22,843.39
Step by Step Solution
- Step 1: Write the proportion equation
9,380 : 14,638 = 14,638 : x - Step 2: Convert to fraction form
9,380/14,638 = 14,638/x - Step 3: Cross multiply
9,380x = 14,638 × 14,638 - Step 4: Simplify right side
9,380x = 214,271,044 - Step 5: Solve for x
x = 214,271,044/9,380 - Step 6: Final answer
x = 22,843.39
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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.