Finding the Third Proportional to 13,742 and 22,126
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Solution
The third proportional to 13,742 and 22,126 is: 35,625.08
Step by Step Solution
- Step 1: Write the proportion equation
13,742 : 22,126 = 22,126 : x - Step 2: Convert to fraction form
13,742/22,126 = 22,126/x - Step 3: Cross multiply
13,742x = 22,126 × 22,126 - Step 4: Simplify right side
13,742x = 489,559,876 - Step 5: Solve for x
x = 489,559,876/13,742 - Step 6: Final answer
x = 35,625.08
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Why These Related Problems?
These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.