Finding the Third Proportional to 21,730 and 30,995
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Solution
The third proportional to 21,730 and 30,995 is: 44,210.31
Step by Step Solution
- Step 1: Write the proportion equation
21,730 : 30,995 = 30,995 : x - Step 2: Convert to fraction form
21,730/30,995 = 30,995/x - Step 3: Cross multiply
21,730x = 30,995 × 30,995 - Step 4: Simplify right side
21,730x = 960,690,025 - Step 5: Solve for x
x = 960,690,025/21,730 - Step 6: Final answer
x = 44,210.31
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Why These Related Problems?
These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.