Finding the Third Proportional to 10,224 and 15,630
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Solution
The third proportional to 10,224 and 15,630 is: 23,894.45
Step by Step Solution
- Step 1: Write the proportion equation
10,224 : 15,630 = 15,630 : x - Step 2: Convert to fraction form
10,224/15,630 = 15,630/x - Step 3: Cross multiply
10,224x = 15,630 × 15,630 - Step 4: Simplify right side
10,224x = 244,296,900 - Step 5: Solve for x
x = 244,296,900/10,224 - Step 6: Final answer
x = 23,894.45
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Why These Related Problems?
These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.