Finding the Third Proportional to 24,198 and 36,297
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Solution
The third proportional to 24,198 and 36,297 is: 54,445.50
Step by Step Solution
- Step 1: Write the proportion equation
24,198 : 36,297 = 36,297 : x - Step 2: Convert to fraction form
24,198/36,297 = 36,297/x - Step 3: Cross multiply
24,198x = 36,297 × 36,297 - Step 4: Simplify right side
24,198x = 1,317,472,209 - Step 5: Solve for x
x = 1,317,472,209/24,198 - Step 6: Final answer
x = 54,445.50
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.