Finding the Third Proportional to 9,853.50 and 21,270
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Solution
The third proportional to 9,853.50 and 21,270 is: 45,913.93
Step by Step Solution
- Step 1: Write the proportion equation
9,853.50 : 21,270 = 21,270 : x - Step 2: Convert to fraction form
9,853.50/21,270 = 21,270/x - Step 3: Cross multiply
9,853.50x = 21,270 × 21,270 - Step 4: Simplify right side
9,853.50x = 452,412,900 - Step 5: Solve for x
x = 452,412,900/9,853.50 - Step 6: Final answer
x = 45,913.93
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.