Finding the Third Proportional to 9,296 and 13,430
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Solution
The third proportional to 9,296 and 13,430 is: 19,402.42
Step by Step Solution
- Step 1: Write the proportion equation
9,296 : 13,430 = 13,430 : x - Step 2: Convert to fraction form
9,296/13,430 = 13,430/x - Step 3: Cross multiply
9,296x = 13,430 × 13,430 - Step 4: Simplify right side
9,296x = 180,364,900 - Step 5: Solve for x
x = 180,364,900/9,296 - Step 6: Final answer
x = 19,402.42
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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.