Finding the Third Proportional to 14,570 and 31,942
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Solution
The third proportional to 14,570 and 31,942 is: 70,026.86
Step by Step Solution
- Step 1: Write the proportion equation
14,570 : 31,942 = 31,942 : x - Step 2: Convert to fraction form
14,570/31,942 = 31,942/x - Step 3: Cross multiply
14,570x = 31,942 × 31,942 - Step 4: Simplify right side
14,570x = 1,020,291,364 - Step 5: Solve for x
x = 1,020,291,364/14,570 - Step 6: Final answer
x = 70,026.86
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.