Finding the Third Proportional to 10,948 and 14,782
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Solution
The third proportional to 10,948 and 14,782 is: 19,958.67
Step by Step Solution
- Step 1: Write the proportion equation
10,948 : 14,782 = 14,782 : x - Step 2: Convert to fraction form
10,948/14,782 = 14,782/x - Step 3: Cross multiply
10,948x = 14,782 × 14,782 - Step 4: Simplify right side
10,948x = 218,507,524 - Step 5: Solve for x
x = 218,507,524/10,948 - Step 6: Final answer
x = 19,958.67
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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.