Finding the Third Proportional to 14,200 and 27,967
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Solution
The third proportional to 14,200 and 27,967 is: 55,081.20
Step by Step Solution
- Step 1: Write the proportion equation
14,200 : 27,967 = 27,967 : x - Step 2: Convert to fraction form
14,200/27,967 = 27,967/x - Step 3: Cross multiply
14,200x = 27,967 × 27,967 - Step 4: Simplify right side
14,200x = 782,153,089 - Step 5: Solve for x
x = 782,153,089/14,200 - Step 6: Final answer
x = 55,081.20
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Why These Related Problems?
These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.