Finding the Third Proportional to 9,783 and 21,550
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Solution
The third proportional to 9,783 and 21,550 is: 47,470.36
Step by Step Solution
- Step 1: Write the proportion equation
9,783 : 21,550 = 21,550 : x - Step 2: Convert to fraction form
9,783/21,550 = 21,550/x - Step 3: Cross multiply
9,783x = 21,550 × 21,550 - Step 4: Simplify right side
9,783x = 464,402,500 - Step 5: Solve for x
x = 464,402,500/9,783 - Step 6: Final answer
x = 47,470.36
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.