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Finding the Third Proportional to 8,212 and 18,742

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Solution

The third proportional to 8,212 and 18,742 is: 42,774.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212 : 18,742 = 18,742 : x
  2. Step 2: Convert to fraction form
    8,212/18,742 = 18,742/x
  3. Step 3: Cross multiply
    8,212x = 18,742 × 18,742
  4. Step 4: Simplify right side
    8,212x = 351,262,564
  5. Step 5: Solve for x
    x = 351,262,564/8,212
  6. Step 6: Final answer
    x = 42,774.30

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.