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Finding the Third Proportional to 17,646 and 38,749

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Solution

The third proportional to 17,646 and 38,749 is: 85,089.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,646 : 38,749 = 38,749 : x
  2. Step 2: Convert to fraction form
    17,646/38,749 = 38,749/x
  3. Step 3: Cross multiply
    17,646x = 38,749 × 38,749
  4. Step 4: Simplify right side
    17,646x = 1,501,485,001
  5. Step 5: Solve for x
    x = 1,501,485,001/17,646
  6. Step 6: Final answer
    x = 85,089.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.