Finding the Third Proportional to 12,996 and 17,784
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Solution
The third proportional to 12,996 and 17,784 is: 24,336
Step by Step Solution
- Step 1: Write the proportion equation
12,996 : 17,784 = 17,784 : x - Step 2: Convert to fraction form
12,996/17,784 = 17,784/x - Step 3: Cross multiply
12,996x = 17,784 × 17,784 - Step 4: Simplify right side
12,996x = 316,270,656 - Step 5: Solve for x
x = 316,270,656/12,996 - Step 6: Final answer
x = 24,336
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Why These Related Problems?
These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.