Finding the Third Proportional to 9,736 and 17,300
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Solution
The third proportional to 9,736 and 17,300 is: 30,740.55
Step by Step Solution
- Step 1: Write the proportion equation
9,736 : 17,300 = 17,300 : x - Step 2: Convert to fraction form
9,736/17,300 = 17,300/x - Step 3: Cross multiply
9,736x = 17,300 × 17,300 - Step 4: Simplify right side
9,736x = 299,290,000 - Step 5: Solve for x
x = 299,290,000/9,736 - Step 6: Final answer
x = 30,740.55
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Why These Related Problems?
These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.