Finding the Third Proportional to 23,708 and 32,146
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Solution
The third proportional to 23,708 and 32,146 is: 43,587.20
Step by Step Solution
- Step 1: Write the proportion equation
23,708 : 32,146 = 32,146 : x - Step 2: Convert to fraction form
23,708/32,146 = 32,146/x - Step 3: Cross multiply
23,708x = 32,146 × 32,146 - Step 4: Simplify right side
23,708x = 1,033,365,316 - Step 5: Solve for x
x = 1,033,365,316/23,708 - Step 6: Final answer
x = 43,587.20
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Why These Related Problems?
These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.