Finding the Third Proportional to 10,714 and 23,254
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Solution
The third proportional to 10,714 and 23,254 is: 50,471.21
Step by Step Solution
- Step 1: Write the proportion equation
10,714 : 23,254 = 23,254 : x - Step 2: Convert to fraction form
10,714/23,254 = 23,254/x - Step 3: Cross multiply
10,714x = 23,254 × 23,254 - Step 4: Simplify right side
10,714x = 540,748,516 - Step 5: Solve for x
x = 540,748,516/10,714 - Step 6: Final answer
x = 50,471.21
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.