Finding the Third Proportional to 8,464 and 18,400
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Solution
The third proportional to 8,464 and 18,400 is: 40,000
Step by Step Solution
- Step 1: Write the proportion equation
8,464 : 18,400 = 18,400 : x - Step 2: Convert to fraction form
8,464/18,400 = 18,400/x - Step 3: Cross multiply
8,464x = 18,400 × 18,400 - Step 4: Simplify right side
8,464x = 338,560,000 - Step 5: Solve for x
x = 338,560,000/8,464 - Step 6: Final answer
x = 40,000
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.