Finding the Third Proportional to 10,710 and 23,714
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Solution
The third proportional to 10,710 and 23,714 is: 52,507.36
Step by Step Solution
- Step 1: Write the proportion equation
10,710 : 23,714 = 23,714 : x - Step 2: Convert to fraction form
10,710/23,714 = 23,714/x - Step 3: Cross multiply
10,710x = 23,714 × 23,714 - Step 4: Simplify right side
10,710x = 562,353,796 - Step 5: Solve for x
x = 562,353,796/10,710 - Step 6: Final answer
x = 52,507.36
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.