Finding the Third Proportional to 21,232 and 31,060
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Solution
The third proportional to 21,232 and 31,060 is: 45,437.25
Step by Step Solution
- Step 1: Write the proportion equation
21,232 : 31,060 = 31,060 : x - Step 2: Convert to fraction form
21,232/31,060 = 31,060/x - Step 3: Cross multiply
21,232x = 31,060 × 31,060 - Step 4: Simplify right side
21,232x = 964,723,600 - Step 5: Solve for x
x = 964,723,600/21,232 - Step 6: Final answer
x = 45,437.25
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.