Finding the Third Proportional to 10,392 and 23,910
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Solution
The third proportional to 10,392 and 23,910 is: 55,012.33
Step by Step Solution
- Step 1: Write the proportion equation
10,392 : 23,910 = 23,910 : x - Step 2: Convert to fraction form
10,392/23,910 = 23,910/x - Step 3: Cross multiply
10,392x = 23,910 × 23,910 - Step 4: Simplify right side
10,392x = 571,688,100 - Step 5: Solve for x
x = 571,688,100/10,392 - Step 6: Final answer
x = 55,012.33
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.