Finding the Third Proportional to 12,427 and 18,471
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Solution
The third proportional to 12,427 and 18,471 is: 27,454.56
Step by Step Solution
- Step 1: Write the proportion equation
12,427 : 18,471 = 18,471 : x - Step 2: Convert to fraction form
12,427/18,471 = 18,471/x - Step 3: Cross multiply
12,427x = 18,471 × 18,471 - Step 4: Simplify right side
12,427x = 341,177,841 - Step 5: Solve for x
x = 341,177,841/12,427 - Step 6: Final answer
x = 27,454.56
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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.