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Finding the Third Proportional to 17,739 and 38,932.50

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Solution

The third proportional to 17,739 and 38,932.50 is: 85,446.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,739 : 38,932.50 = 38,932.50 : x
  2. Step 2: Convert to fraction form
    17,739/38,932.50 = 38,932.50/x
  3. Step 3: Cross multiply
    17,739x = 38,932.50 × 38,932.50
  4. Step 4: Simplify right side
    17,739x = 1,515,739,556.25
  5. Step 5: Solve for x
    x = 1,515,739,556.25/17,739
  6. Step 6: Final answer
    x = 85,446.73

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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.