Finding the Third Proportional to 10,708 and 23,710
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Solution
The third proportional to 10,708 and 23,710 is: 52,499.45
Step by Step Solution
- Step 1: Write the proportion equation
10,708 : 23,710 = 23,710 : x - Step 2: Convert to fraction form
10,708/23,710 = 23,710/x - Step 3: Cross multiply
10,708x = 23,710 × 23,710 - Step 4: Simplify right side
10,708x = 562,164,100 - Step 5: Solve for x
x = 562,164,100/10,708 - Step 6: Final answer
x = 52,499.45
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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.