Finding the Third Proportional to 14,000 and 30,320
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Solution
The third proportional to 14,000 and 30,320 is: 65,664.46
Step by Step Solution
- Step 1: Write the proportion equation
14,000 : 30,320 = 30,320 : x - Step 2: Convert to fraction form
14,000/30,320 = 30,320/x - Step 3: Cross multiply
14,000x = 30,320 × 30,320 - Step 4: Simplify right side
14,000x = 919,302,400 - Step 5: Solve for x
x = 919,302,400/14,000 - Step 6: Final answer
x = 65,664.46
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.