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Finding the Third Proportional to 17,928 and 36,747

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Solution

The third proportional to 17,928 and 36,747 is: 75,320.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,928 : 36,747 = 36,747 : x
  2. Step 2: Convert to fraction form
    17,928/36,747 = 36,747/x
  3. Step 3: Cross multiply
    17,928x = 36,747 × 36,747
  4. Step 4: Simplify right side
    17,928x = 1,350,342,009
  5. Step 5: Solve for x
    x = 1,350,342,009/17,928
  6. Step 6: Final answer
    x = 75,320.28

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.