Finding the Third Proportional to 25,784 and 37,920
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Solution
The third proportional to 25,784 and 37,920 is: 55,768.17
Step by Step Solution
- Step 1: Write the proportion equation
25,784 : 37,920 = 37,920 : x - Step 2: Convert to fraction form
25,784/37,920 = 37,920/x - Step 3: Cross multiply
25,784x = 37,920 × 37,920 - Step 4: Simplify right side
25,784x = 1,437,926,400 - Step 5: Solve for x
x = 1,437,926,400/25,784 - Step 6: Final answer
x = 55,768.17
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Why These Related Problems?
These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.