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Finding the Third Proportional to 14,692 and 31,976

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Solution

The third proportional to 14,692 and 31,976 is: 69,593.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,692 : 31,976 = 31,976 : x
  2. Step 2: Convert to fraction form
    14,692/31,976 = 31,976/x
  3. Step 3: Cross multiply
    14,692x = 31,976 × 31,976
  4. Step 4: Simplify right side
    14,692x = 1,022,464,576
  5. Step 5: Solve for x
    x = 1,022,464,576/14,692
  6. Step 6: Final answer
    x = 69,593.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.