Finding the Third Proportional to 10,114 and 20,732
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Solution
The third proportional to 10,114 and 20,732 is: 42,497.12
Step by Step Solution
- Step 1: Write the proportion equation
10,114 : 20,732 = 20,732 : x - Step 2: Convert to fraction form
10,114/20,732 = 20,732/x - Step 3: Cross multiply
10,114x = 20,732 × 20,732 - Step 4: Simplify right side
10,114x = 429,815,824 - Step 5: Solve for x
x = 429,815,824/10,114 - Step 6: Final answer
x = 42,497.12
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Why These Related Problems?
These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.