Finding the Third Proportional to 5,197.31 and 11,432.44
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Solution
The third proportional to 5,197.31 and 11,432.44 is: 25,147.73
Step by Step Solution
- Step 1: Write the proportion equation
5,197.31 : 11,432.44 = 11,432.44 : x - Step 2: Convert to fraction form
5,197.31/11,432.44 = 11,432.44/x - Step 3: Cross multiply
5,197.31x = 11,432.44 × 11,432.44 - Step 4: Simplify right side
5,197.31x = 130,700,627.19 - Step 5: Solve for x
x = 130,700,627.19/5,197.31 - Step 6: Final answer
x = 25,147.73
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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.