Finding the Third Proportional to 8,024 and 12,014
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Solution
The third proportional to 8,024 and 12,014 is: 17,988.06
Step by Step Solution
- Step 1: Write the proportion equation
8,024 : 12,014 = 12,014 : x - Step 2: Convert to fraction form
8,024/12,014 = 12,014/x - Step 3: Cross multiply
8,024x = 12,014 × 12,014 - Step 4: Simplify right side
8,024x = 144,336,196 - Step 5: Solve for x
x = 144,336,196/8,024 - Step 6: Final answer
x = 17,988.06
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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.