Finding the Third Proportional to 2,409.75 and 5,232.09
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Solution
The third proportional to 2,409.75 and 5,232.09 is: 11,360.02
Step by Step Solution
- Step 1: Write the proportion equation
2,409.75 : 5,232.09 = 5,232.09 : x - Step 2: Convert to fraction form
2,409.75/5,232.09 = 5,232.09/x - Step 3: Cross multiply
2,409.75x = 5,232.09 × 5,232.09 - Step 4: Simplify right side
2,409.75x = 27,374,805.01 - Step 5: Solve for x
x = 27,374,805.01/2,409.75 - Step 6: Final answer
x = 11,360.02
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.