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Finding the Third Proportional to 17,546 and 23,971

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Solution

The third proportional to 17,546 and 23,971 is: 32,748.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,546 : 23,971 = 23,971 : x
  2. Step 2: Convert to fraction form
    17,546/23,971 = 23,971/x
  3. Step 3: Cross multiply
    17,546x = 23,971 × 23,971
  4. Step 4: Simplify right side
    17,546x = 574,608,841
  5. Step 5: Solve for x
    x = 574,608,841/17,546
  6. Step 6: Final answer
    x = 32,748.71

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.