Finding the Third Proportional to 7,071.63 and 14,724.63
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Solution
The third proportional to 7,071.63 and 14,724.63 is: 30,659.80
Step by Step Solution
- Step 1: Write the proportion equation
7,071.63 : 14,724.63 = 14,724.63 : x - Step 2: Convert to fraction form
7,071.63/14,724.63 = 14,724.63/x - Step 3: Cross multiply
7,071.63x = 14,724.63 × 14,724.63 - Step 4: Simplify right side
7,071.63x = 216,814,581.39 - Step 5: Solve for x
x = 216,814,581.39/7,071.63 - Step 6: Final answer
x = 30,659.80
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Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.