Finding the Third Proportional to 27,002 and 36,350
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Solution
The third proportional to 27,002 and 36,350 is: 48,934.25
Step by Step Solution
- Step 1: Write the proportion equation
27,002 : 36,350 = 36,350 : x - Step 2: Convert to fraction form
27,002/36,350 = 36,350/x - Step 3: Cross multiply
27,002x = 36,350 × 36,350 - Step 4: Simplify right side
27,002x = 1,321,322,500 - Step 5: Solve for x
x = 1,321,322,500/27,002 - Step 6: Final answer
x = 48,934.25
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Why These Related Problems?
These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.