Finding the Third Proportional to 31,260 and 65,787
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Solution
The third proportional to 31,260 and 65,787 is: 138,449.44
Step by Step Solution
- Step 1: Write the proportion equation
31,260 : 65,787 = 65,787 : x - Step 2: Convert to fraction form
31,260/65,787 = 65,787/x - Step 3: Cross multiply
31,260x = 65,787 × 65,787 - Step 4: Simplify right side
31,260x = 4,327,929,369 - Step 5: Solve for x
x = 4,327,929,369/31,260 - Step 6: Final answer
x = 138,449.44
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Why These Related Problems?
These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.