Finding the Third Proportional to 13,424 and 14,624
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Solution
The third proportional to 13,424 and 14,624 is: 15,931.27
Step by Step Solution
- Step 1: Write the proportion equation
13,424 : 14,624 = 14,624 : x - Step 2: Convert to fraction form
13,424/14,624 = 14,624/x - Step 3: Cross multiply
13,424x = 14,624 × 14,624 - Step 4: Simplify right side
13,424x = 213,861,376 - Step 5: Solve for x
x = 213,861,376/13,424 - Step 6: Final answer
x = 15,931.27
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.