Finding the Third Proportional to 24,912 and 42,984
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Solution
The third proportional to 24,912 and 42,984 is: 74,166.03
Step by Step Solution
- Step 1: Write the proportion equation
24,912 : 42,984 = 42,984 : x - Step 2: Convert to fraction form
24,912/42,984 = 42,984/x - Step 3: Cross multiply
24,912x = 42,984 × 42,984 - Step 4: Simplify right side
24,912x = 1,847,624,256 - Step 5: Solve for x
x = 1,847,624,256/24,912 - Step 6: Final answer
x = 74,166.03
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.