Finding the Third Proportional to 13,912 and 17,680
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Solution
The third proportional to 13,912 and 17,680 is: 22,468.55
Step by Step Solution
- Step 1: Write the proportion equation
13,912 : 17,680 = 17,680 : x - Step 2: Convert to fraction form
13,912/17,680 = 17,680/x - Step 3: Cross multiply
13,912x = 17,680 × 17,680 - Step 4: Simplify right side
13,912x = 312,582,400 - Step 5: Solve for x
x = 312,582,400/13,912 - Step 6: Final answer
x = 22,468.55
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These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.