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Finding the Third Proportional to 20,579 and 30,747

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Solution

The third proportional to 20,579 and 30,747 is: 45,938.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,579 : 30,747 = 30,747 : x
  2. Step 2: Convert to fraction form
    20,579/30,747 = 30,747/x
  3. Step 3: Cross multiply
    20,579x = 30,747 × 30,747
  4. Step 4: Simplify right side
    20,579x = 945,378,009
  5. Step 5: Solve for x
    x = 945,378,009/20,579
  6. Step 6: Final answer
    x = 45,938.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.