Finding the Third Proportional to 21,984 and 30,720
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Solution
The third proportional to 21,984 and 30,720 is: 42,927.51
Step by Step Solution
- Step 1: Write the proportion equation
21,984 : 30,720 = 30,720 : x - Step 2: Convert to fraction form
21,984/30,720 = 30,720/x - Step 3: Cross multiply
21,984x = 30,720 × 30,720 - Step 4: Simplify right side
21,984x = 943,718,400 - Step 5: Solve for x
x = 943,718,400/21,984 - Step 6: Final answer
x = 42,927.51
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.