Finding the Third Proportional to 13,142 and 20,361
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Solution
The third proportional to 13,142 and 20,361 is: 31,545.45
Step by Step Solution
- Step 1: Write the proportion equation
13,142 : 20,361 = 20,361 : x - Step 2: Convert to fraction form
13,142/20,361 = 20,361/x - Step 3: Cross multiply
13,142x = 20,361 × 20,361 - Step 4: Simplify right side
13,142x = 414,570,321 - Step 5: Solve for x
x = 414,570,321/13,142 - Step 6: Final answer
x = 31,545.45
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.