Finding the Third Proportional to 19,448 and 42,784
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Solution
The third proportional to 19,448 and 42,784 is: 94,121.28
Step by Step Solution
- Step 1: Write the proportion equation
19,448 : 42,784 = 42,784 : x - Step 2: Convert to fraction form
19,448/42,784 = 42,784/x - Step 3: Cross multiply
19,448x = 42,784 × 42,784 - Step 4: Simplify right side
19,448x = 1,830,470,656 - Step 5: Solve for x
x = 1,830,470,656/19,448 - Step 6: Final answer
x = 94,121.28
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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.