Finding the Third Proportional to 10,102 and 16,777
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Solution
The third proportional to 10,102 and 16,777 is: 27,862.57
Step by Step Solution
- Step 1: Write the proportion equation
10,102 : 16,777 = 16,777 : x - Step 2: Convert to fraction form
10,102/16,777 = 16,777/x - Step 3: Cross multiply
10,102x = 16,777 × 16,777 - Step 4: Simplify right side
10,102x = 281,467,729 - Step 5: Solve for x
x = 281,467,729/10,102 - Step 6: Final answer
x = 27,862.57
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Why These Related Problems?
These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.