Finding the Third Proportional to 1,542 and 3,289.50
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Solution
The third proportional to 1,542 and 3,289.50 is: 7,017.39
Step by Step Solution
- Step 1: Write the proportion equation
1,542 : 3,289.50 = 3,289.50 : x - Step 2: Convert to fraction form
1,542/3,289.50 = 3,289.50/x - Step 3: Cross multiply
1,542x = 3,289.50 × 3,289.50 - Step 4: Simplify right side
1,542x = 10,820,810.25 - Step 5: Solve for x
x = 10,820,810.25/1,542 - Step 6: Final answer
x = 7,017.39
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Why These Related Problems?
These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.