Finding the Third Proportional to 17,371 and 37,997
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Solution
The third proportional to 17,371 and 37,997 is: 83,113.93
Step by Step Solution
- Step 1: Write the proportion equation
17,371 : 37,997 = 37,997 : x - Step 2: Convert to fraction form
17,371/37,997 = 37,997/x - Step 3: Cross multiply
17,371x = 37,997 × 37,997 - Step 4: Simplify right side
17,371x = 1,443,772,009 - Step 5: Solve for x
x = 1,443,772,009/17,371 - Step 6: Final answer
x = 83,113.93
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.