Finding the Third Proportional to 2,102.37 and 4,505.08
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Solution
The third proportional to 2,102.37 and 4,505.08 is: 9,653.75
Step by Step Solution
- Step 1: Write the proportion equation
2,102.37 : 4,505.08 = 4,505.08 : x - Step 2: Convert to fraction form
2,102.37/4,505.08 = 4,505.08/x - Step 3: Cross multiply
2,102.37x = 4,505.08 × 4,505.08 - Step 4: Simplify right side
2,102.37x = 20,295,756.41 - Step 5: Solve for x
x = 20,295,756.41/2,102.37 - Step 6: Final answer
x = 9,653.75
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.