Finding the Third Proportional to 9,476 and 13,948
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Solution
The third proportional to 9,476 and 13,948 is: 20,530.47
Step by Step Solution
- Step 1: Write the proportion equation
9,476 : 13,948 = 13,948 : x - Step 2: Convert to fraction form
9,476/13,948 = 13,948/x - Step 3: Cross multiply
9,476x = 13,948 × 13,948 - Step 4: Simplify right side
9,476x = 194,546,704 - Step 5: Solve for x
x = 194,546,704/9,476 - Step 6: Final answer
x = 20,530.47
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Why These Related Problems?
These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.