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Finding the Third Proportional to 27,928 and 37,404

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Solution

The third proportional to 27,928 and 37,404 is: 50,095.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,928 : 37,404 = 37,404 : x
  2. Step 2: Convert to fraction form
    27,928/37,404 = 37,404/x
  3. Step 3: Cross multiply
    27,928x = 37,404 × 37,404
  4. Step 4: Simplify right side
    27,928x = 1,399,059,216
  5. Step 5: Solve for x
    x = 1,399,059,216/27,928
  6. Step 6: Final answer
    x = 50,095.22

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.