Finding the Third Proportional to 2,102.25 and 3,303.75
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Solution
The third proportional to 2,102.25 and 3,303.75 is: 5,191.94
Step by Step Solution
- Step 1: Write the proportion equation
2,102.25 : 3,303.75 = 3,303.75 : x - Step 2: Convert to fraction form
2,102.25/3,303.75 = 3,303.75/x - Step 3: Cross multiply
2,102.25x = 3,303.75 × 3,303.75 - Step 4: Simplify right side
2,102.25x = 10,914,764.06 - Step 5: Solve for x
x = 10,914,764.06/2,102.25 - Step 6: Final answer
x = 5,191.94
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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.