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Finding the Third Proportional to 22,692 and 34,694

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Solution

The third proportional to 22,692 and 34,694 is: 53,043.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,692 : 34,694 = 34,694 : x
  2. Step 2: Convert to fraction form
    22,692/34,694 = 34,694/x
  3. Step 3: Cross multiply
    22,692x = 34,694 × 34,694
  4. Step 4: Simplify right side
    22,692x = 1,203,673,636
  5. Step 5: Solve for x
    x = 1,203,673,636/22,692
  6. Step 6: Final answer
    x = 53,043.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.