Finding the Third Proportional to 16,830 and 23,598
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Solution
The third proportional to 16,830 and 23,598 is: 33,087.68
Step by Step Solution
- Step 1: Write the proportion equation
16,830 : 23,598 = 23,598 : x - Step 2: Convert to fraction form
16,830/23,598 = 23,598/x - Step 3: Cross multiply
16,830x = 23,598 × 23,598 - Step 4: Simplify right side
16,830x = 556,865,604 - Step 5: Solve for x
x = 556,865,604/16,830 - Step 6: Final answer
x = 33,087.68
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Why These Related Problems?
These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.