Finding the Third Proportional to 12,008 and 17,964
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Solution
The third proportional to 12,008 and 17,964 is: 26,874.19
Step by Step Solution
- Step 1: Write the proportion equation
12,008 : 17,964 = 17,964 : x - Step 2: Convert to fraction form
12,008/17,964 = 17,964/x - Step 3: Cross multiply
12,008x = 17,964 × 17,964 - Step 4: Simplify right side
12,008x = 322,705,296 - Step 5: Solve for x
x = 322,705,296/12,008 - Step 6: Final answer
x = 26,874.19
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.