Finding the Third Proportional to 24,720 and 31,320
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Solution
The third proportional to 24,720 and 31,320 is: 39,682.14
Step by Step Solution
- Step 1: Write the proportion equation
24,720 : 31,320 = 31,320 : x - Step 2: Convert to fraction form
24,720/31,320 = 31,320/x - Step 3: Cross multiply
24,720x = 31,320 × 31,320 - Step 4: Simplify right side
24,720x = 980,942,400 - Step 5: Solve for x
x = 980,942,400/24,720 - Step 6: Final answer
x = 39,682.14
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.