Finding the Third Proportional to 18,500 and 38,536
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Solution
The third proportional to 18,500 and 38,536 is: 80,271.53
Step by Step Solution
- Step 1: Write the proportion equation
18,500 : 38,536 = 38,536 : x - Step 2: Convert to fraction form
18,500/38,536 = 38,536/x - Step 3: Cross multiply
18,500x = 38,536 × 38,536 - Step 4: Simplify right side
18,500x = 1,485,023,296 - Step 5: Solve for x
x = 1,485,023,296/18,500 - Step 6: Final answer
x = 80,271.53
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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.