Finding the Third Proportional to 9,730 and 20,996
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Solution
The third proportional to 9,730 and 20,996 is: 45,306.48
Step by Step Solution
- Step 1: Write the proportion equation
9,730 : 20,996 = 20,996 : x - Step 2: Convert to fraction form
9,730/20,996 = 20,996/x - Step 3: Cross multiply
9,730x = 20,996 × 20,996 - Step 4: Simplify right side
9,730x = 440,832,016 - Step 5: Solve for x
x = 440,832,016/9,730 - Step 6: Final answer
x = 45,306.48
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.