Finding the Third Proportional to 20,074 and 23,002
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Solution
The third proportional to 20,074 and 23,002 is: 26,357.08
Step by Step Solution
- Step 1: Write the proportion equation
20,074 : 23,002 = 23,002 : x - Step 2: Convert to fraction form
20,074/23,002 = 23,002/x - Step 3: Cross multiply
20,074x = 23,002 × 23,002 - Step 4: Simplify right side
20,074x = 529,092,004 - Step 5: Solve for x
x = 529,092,004/20,074 - Step 6: Final answer
x = 26,357.08
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Why These Related Problems?
These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.