Finding the Third Proportional to 10,724 and 15,270
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Solution
The third proportional to 10,724 and 15,270 is: 21,743.09
Step by Step Solution
- Step 1: Write the proportion equation
10,724 : 15,270 = 15,270 : x - Step 2: Convert to fraction form
10,724/15,270 = 15,270/x - Step 3: Cross multiply
10,724x = 15,270 × 15,270 - Step 4: Simplify right side
10,724x = 233,172,900 - Step 5: Solve for x
x = 233,172,900/10,724 - Step 6: Final answer
x = 21,743.09
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Why These Related Problems?
These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.