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Finding the Third Proportional to 20,212 and 30,756

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Solution

The third proportional to 20,212 and 30,756 is: 46,800.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,212 : 30,756 = 30,756 : x
  2. Step 2: Convert to fraction form
    20,212/30,756 = 30,756/x
  3. Step 3: Cross multiply
    20,212x = 30,756 × 30,756
  4. Step 4: Simplify right side
    20,212x = 945,931,536
  5. Step 5: Solve for x
    x = 945,931,536/20,212
  6. Step 6: Final answer
    x = 46,800.49

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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.