Finding the Third Proportional to 12,146 and 15,948
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Solution
The third proportional to 12,146 and 15,948 is: 20,940.12
Step by Step Solution
- Step 1: Write the proportion equation
12,146 : 15,948 = 15,948 : x - Step 2: Convert to fraction form
12,146/15,948 = 15,948/x - Step 3: Cross multiply
12,146x = 15,948 × 15,948 - Step 4: Simplify right side
12,146x = 254,338,704 - Step 5: Solve for x
x = 254,338,704/12,146 - Step 6: Final answer
x = 20,940.12
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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.