Finding the Third Proportional to 1,822.50 and 3,933
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Solution
The third proportional to 1,822.50 and 3,933 is: 8,487.51
Step by Step Solution
- Step 1: Write the proportion equation
1,822.50 : 3,933 = 3,933 : x - Step 2: Convert to fraction form
1,822.50/3,933 = 3,933/x - Step 3: Cross multiply
1,822.50x = 3,933 × 3,933 - Step 4: Simplify right side
1,822.50x = 15,468,489 - Step 5: Solve for x
x = 15,468,489/1,822.50 - Step 6: Final answer
x = 8,487.51
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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.