Finding the Third Proportional to 735 and 1,071
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Solution
The third proportional to 735 and 1,071 is: 1,560.60
Step by Step Solution
- Step 1: Write the proportion equation
735 : 1,071 = 1,071 : x - Step 2: Convert to fraction form
735/1,071 = 1,071/x - Step 3: Cross multiply
735x = 1,071 × 1,071 - Step 4: Simplify right side
735x = 1,147,041 - Step 5: Solve for x
x = 1,147,041/735 - Step 6: Final answer
x = 1,560.60
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Why These Related Problems?
These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.