Finding the Third Proportional to 13,984 and 30,424
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Solution
The third proportional to 13,984 and 30,424 is: 66,191.35
Step by Step Solution
- Step 1: Write the proportion equation
13,984 : 30,424 = 30,424 : x - Step 2: Convert to fraction form
13,984/30,424 = 30,424/x - Step 3: Cross multiply
13,984x = 30,424 × 30,424 - Step 4: Simplify right side
13,984x = 925,619,776 - Step 5: Solve for x
x = 925,619,776/13,984 - Step 6: Final answer
x = 66,191.35
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.