Finding the Third Proportional to 9,533 and 14,732
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Solution
The third proportional to 9,533 and 14,732 is: 22,766.37
Step by Step Solution
- Step 1: Write the proportion equation
9,533 : 14,732 = 14,732 : x - Step 2: Convert to fraction form
9,533/14,732 = 14,732/x - Step 3: Cross multiply
9,533x = 14,732 × 14,732 - Step 4: Simplify right side
9,533x = 217,031,824 - Step 5: Solve for x
x = 217,031,824/9,533 - Step 6: Final answer
x = 22,766.37
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.