Finding the Third Proportional to 10,032 and 14,260
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Solution
The third proportional to 10,032 and 14,260 is: 20,269.90
Step by Step Solution
- Step 1: Write the proportion equation
10,032 : 14,260 = 14,260 : x - Step 2: Convert to fraction form
10,032/14,260 = 14,260/x - Step 3: Cross multiply
10,032x = 14,260 × 14,260 - Step 4: Simplify right side
10,032x = 203,347,600 - Step 5: Solve for x
x = 203,347,600/10,032 - Step 6: Final answer
x = 20,269.90
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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.