Finding the Third Proportional to 23,442 and 31,314
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Solution
The third proportional to 23,442 and 31,314 is: 41,829.48
Step by Step Solution
- Step 1: Write the proportion equation
23,442 : 31,314 = 31,314 : x - Step 2: Convert to fraction form
23,442/31,314 = 31,314/x - Step 3: Cross multiply
23,442x = 31,314 × 31,314 - Step 4: Simplify right side
23,442x = 980,566,596 - Step 5: Solve for x
x = 980,566,596/23,442 - Step 6: Final answer
x = 41,829.48
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Why These Related Problems?
These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.