Finding the Third Proportional to 6,561 and 7,533
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Solution
The third proportional to 6,561 and 7,533 is: 8,649
Step by Step Solution
- Step 1: Write the proportion equation
6,561 : 7,533 = 7,533 : x - Step 2: Convert to fraction form
6,561/7,533 = 7,533/x - Step 3: Cross multiply
6,561x = 7,533 × 7,533 - Step 4: Simplify right side
6,561x = 56,746,089 - Step 5: Solve for x
x = 56,746,089/6,561 - Step 6: Final answer
x = 8,649
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Why These Related Problems?
These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.