Finding the Third Proportional to 9,509.63 and 14,264.44
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Solution
The third proportional to 9,509.63 and 14,264.44 is: 21,396.66
Step by Step Solution
- Step 1: Write the proportion equation
9,509.63 : 14,264.44 = 14,264.44 : x - Step 2: Convert to fraction form
9,509.63/14,264.44 = 14,264.44/x - Step 3: Cross multiply
9,509.63x = 14,264.44 × 14,264.44 - Step 4: Simplify right side
9,509.63x = 203,474,177.19 - Step 5: Solve for x
x = 203,474,177.19/9,509.63 - Step 6: Final answer
x = 21,396.66
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.