Finding the Third Proportional to 16,184 and 23,748
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Solution
The third proportional to 16,184 and 23,748 is: 34,847.23
Step by Step Solution
- Step 1: Write the proportion equation
16,184 : 23,748 = 23,748 : x - Step 2: Convert to fraction form
16,184/23,748 = 23,748/x - Step 3: Cross multiply
16,184x = 23,748 × 23,748 - Step 4: Simplify right side
16,184x = 563,967,504 - Step 5: Solve for x
x = 563,967,504/16,184 - Step 6: Final answer
x = 34,847.23
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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.