Finding the Third Proportional to 1,520 and 3,282.50
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Solution
The third proportional to 1,520 and 3,282.50 is: 7,088.69
Step by Step Solution
- Step 1: Write the proportion equation
1,520 : 3,282.50 = 3,282.50 : x - Step 2: Convert to fraction form
1,520/3,282.50 = 3,282.50/x - Step 3: Cross multiply
1,520x = 3,282.50 × 3,282.50 - Step 4: Simplify right side
1,520x = 10,774,806.25 - Step 5: Solve for x
x = 10,774,806.25/1,520 - Step 6: Final answer
x = 7,088.69
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.