Finding the Third Proportional to 12,148 and 17,744
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Solution
The third proportional to 12,148 and 17,744 is: 25,917.81
Step by Step Solution
- Step 1: Write the proportion equation
12,148 : 17,744 = 17,744 : x - Step 2: Convert to fraction form
12,148/17,744 = 17,744/x - Step 3: Cross multiply
12,148x = 17,744 × 17,744 - Step 4: Simplify right side
12,148x = 314,849,536 - Step 5: Solve for x
x = 314,849,536/12,148 - Step 6: Final answer
x = 25,917.81
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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.