Finding the Third Proportional to 20,786 and 45,460
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Solution
The third proportional to 20,786 and 45,460 is: 99,423.25
Step by Step Solution
- Step 1: Write the proportion equation
20,786 : 45,460 = 45,460 : x - Step 2: Convert to fraction form
20,786/45,460 = 45,460/x - Step 3: Cross multiply
20,786x = 45,460 × 45,460 - Step 4: Simplify right side
20,786x = 2,066,611,600 - Step 5: Solve for x
x = 2,066,611,600/20,786 - Step 6: Final answer
x = 99,423.25
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.