Finding the Third Proportional to 20,623 and 32,012
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Solution
The third proportional to 20,623 and 32,012 is: 49,690.55
Step by Step Solution
- Step 1: Write the proportion equation
20,623 : 32,012 = 32,012 : x - Step 2: Convert to fraction form
20,623/32,012 = 32,012/x - Step 3: Cross multiply
20,623x = 32,012 × 32,012 - Step 4: Simplify right side
20,623x = 1,024,768,144 - Step 5: Solve for x
x = 1,024,768,144/20,623 - Step 6: Final answer
x = 49,690.55
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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.