Finding the Third Proportional to 17,810 and 38,475
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Solution
The third proportional to 17,810 and 38,475 is: 83,117.67
Step by Step Solution
- Step 1: Write the proportion equation
17,810 : 38,475 = 38,475 : x - Step 2: Convert to fraction form
17,810/38,475 = 38,475/x - Step 3: Cross multiply
17,810x = 38,475 × 38,475 - Step 4: Simplify right side
17,810x = 1,480,325,625 - Step 5: Solve for x
x = 1,480,325,625/17,810 - Step 6: Final answer
x = 83,117.67
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.