Finding the Third Proportional to 14,202 and 30,996
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Solution
The third proportional to 14,202 and 30,996 is: 67,649.06
Step by Step Solution
- Step 1: Write the proportion equation
14,202 : 30,996 = 30,996 : x - Step 2: Convert to fraction form
14,202/30,996 = 30,996/x - Step 3: Cross multiply
14,202x = 30,996 × 30,996 - Step 4: Simplify right side
14,202x = 960,752,016 - Step 5: Solve for x
x = 960,752,016/14,202 - Step 6: Final answer
x = 67,649.06
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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.