Finding the Third Proportional to 21,462 and 30,222
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Solution
The third proportional to 21,462 and 30,222 is: 42,557.51
Step by Step Solution
- Step 1: Write the proportion equation
21,462 : 30,222 = 30,222 : x - Step 2: Convert to fraction form
21,462/30,222 = 30,222/x - Step 3: Cross multiply
21,462x = 30,222 × 30,222 - Step 4: Simplify right side
21,462x = 913,369,284 - Step 5: Solve for x
x = 913,369,284/21,462 - Step 6: Final answer
x = 42,557.51
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.