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Finding the Third Proportional to 34,692 and 38,337

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Solution

The third proportional to 34,692 and 38,337 is: 42,364.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,692 : 38,337 = 38,337 : x
  2. Step 2: Convert to fraction form
    34,692/38,337 = 38,337/x
  3. Step 3: Cross multiply
    34,692x = 38,337 × 38,337
  4. Step 4: Simplify right side
    34,692x = 1,469,725,569
  5. Step 5: Solve for x
    x = 1,469,725,569/34,692
  6. Step 6: Final answer
    x = 42,364.97

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.