Finding the Third Proportional to 16,570 and 35,962
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Solution
The third proportional to 16,570 and 35,962 is: 78,048.61
Step by Step Solution
- Step 1: Write the proportion equation
16,570 : 35,962 = 35,962 : x - Step 2: Convert to fraction form
16,570/35,962 = 35,962/x - Step 3: Cross multiply
16,570x = 35,962 × 35,962 - Step 4: Simplify right side
16,570x = 1,293,265,444 - Step 5: Solve for x
x = 1,293,265,444/16,570 - Step 6: Final answer
x = 78,048.61
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.