Finding the Third Proportional to 1,829.75 and 2,099.75
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Solution
The third proportional to 1,829.75 and 2,099.75 is: 2,409.59
Step by Step Solution
- Step 1: Write the proportion equation
1,829.75 : 2,099.75 = 2,099.75 : x - Step 2: Convert to fraction form
1,829.75/2,099.75 = 2,099.75/x - Step 3: Cross multiply
1,829.75x = 2,099.75 × 2,099.75 - Step 4: Simplify right side
1,829.75x = 4,408,950.06 - Step 5: Solve for x
x = 4,408,950.06/1,829.75 - Step 6: Final answer
x = 2,409.59
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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.