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Finding the Third Proportional to 14,692 and 32,744

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Solution

The third proportional to 14,692 and 32,744 is: 72,976.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,692 : 32,744 = 32,744 : x
  2. Step 2: Convert to fraction form
    14,692/32,744 = 32,744/x
  3. Step 3: Cross multiply
    14,692x = 32,744 × 32,744
  4. Step 4: Simplify right side
    14,692x = 1,072,169,536
  5. Step 5: Solve for x
    x = 1,072,169,536/14,692
  6. Step 6: Final answer
    x = 72,976.42

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.