Finding the Third Proportional to 5,768 and 9,740
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Solution
The third proportional to 5,768 and 9,740 is: 16,447.23
Step by Step Solution
- Step 1: Write the proportion equation
5,768 : 9,740 = 9,740 : x - Step 2: Convert to fraction form
5,768/9,740 = 9,740/x - Step 3: Cross multiply
5,768x = 9,740 × 9,740 - Step 4: Simplify right side
5,768x = 94,867,600 - Step 5: Solve for x
x = 94,867,600/5,768 - Step 6: Final answer
x = 16,447.23
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Why These Related Problems?
These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.