Finding the Third Proportional to 1,457.44 and 2,235.09
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Solution
The third proportional to 1,457.44 and 2,235.09 is: 3,427.69
Step by Step Solution
- Step 1: Write the proportion equation
1,457.44 : 2,235.09 = 2,235.09 : x - Step 2: Convert to fraction form
1,457.44/2,235.09 = 2,235.09/x - Step 3: Cross multiply
1,457.44x = 2,235.09 × 2,235.09 - Step 4: Simplify right side
1,457.44x = 4,995,644.07 - Step 5: Solve for x
x = 4,995,644.07/1,457.44 - Step 6: Final answer
x = 3,427.69
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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.