Finding the Third Proportional to 10,302 and 13,860
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Solution
The third proportional to 10,302 and 13,860 is: 18,646.83
Step by Step Solution
- Step 1: Write the proportion equation
10,302 : 13,860 = 13,860 : x - Step 2: Convert to fraction form
10,302/13,860 = 13,860/x - Step 3: Cross multiply
10,302x = 13,860 × 13,860 - Step 4: Simplify right side
10,302x = 192,099,600 - Step 5: Solve for x
x = 192,099,600/10,302 - Step 6: Final answer
x = 18,646.83
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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.