Finding the Third Proportional to 9,120 and 19,488
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Solution
The third proportional to 9,120 and 19,488 is: 41,642.78
Step by Step Solution
- Step 1: Write the proportion equation
9,120 : 19,488 = 19,488 : x - Step 2: Convert to fraction form
9,120/19,488 = 19,488/x - Step 3: Cross multiply
9,120x = 19,488 × 19,488 - Step 4: Simplify right side
9,120x = 379,782,144 - Step 5: Solve for x
x = 379,782,144/9,120 - Step 6: Final answer
x = 41,642.78
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.