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Finding the Third Proportional to 20,226 and 30,747

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Solution

The third proportional to 20,226 and 30,747 is: 46,740.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,226 : 30,747 = 30,747 : x
  2. Step 2: Convert to fraction form
    20,226/30,747 = 30,747/x
  3. Step 3: Cross multiply
    20,226x = 30,747 × 30,747
  4. Step 4: Simplify right side
    20,226x = 945,378,009
  5. Step 5: Solve for x
    x = 945,378,009/20,226
  6. Step 6: Final answer
    x = 46,740.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.