Finding the Third Proportional to 20,468 and 31,249
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Solution
The third proportional to 20,468 and 31,249 is: 47,708.62
Step by Step Solution
- Step 1: Write the proportion equation
20,468 : 31,249 = 31,249 : x - Step 2: Convert to fraction form
20,468/31,249 = 31,249/x - Step 3: Cross multiply
20,468x = 31,249 × 31,249 - Step 4: Simplify right side
20,468x = 976,500,001 - Step 5: Solve for x
x = 976,500,001/20,468 - Step 6: Final answer
x = 47,708.62
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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.