Finding the Third Proportional to 5,765 and 6,365
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Solution
The third proportional to 5,765 and 6,365 is: 7,027.45
Step by Step Solution
- Step 1: Write the proportion equation
5,765 : 6,365 = 6,365 : x - Step 2: Convert to fraction form
5,765/6,365 = 6,365/x - Step 3: Cross multiply
5,765x = 6,365 × 6,365 - Step 4: Simplify right side
5,765x = 40,513,225 - Step 5: Solve for x
x = 40,513,225/5,765 - Step 6: Final answer
x = 7,027.45
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Why These Related Problems?
These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.