Finding the Third Proportional to 20,404 and 27,462
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Solution
The third proportional to 20,404 and 27,462 is: 36,961.45
Step by Step Solution
- Step 1: Write the proportion equation
20,404 : 27,462 = 27,462 : x - Step 2: Convert to fraction form
20,404/27,462 = 27,462/x - Step 3: Cross multiply
20,404x = 27,462 × 27,462 - Step 4: Simplify right side
20,404x = 754,161,444 - Step 5: Solve for x
x = 754,161,444/20,404 - Step 6: Final answer
x = 36,961.45
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1.5x scale
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.