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Finding the Third Proportional to 14,424 and 31,982

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Solution

The third proportional to 14,424 and 31,982 is: 70,912.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,424 : 31,982 = 31,982 : x
  2. Step 2: Convert to fraction form
    14,424/31,982 = 31,982/x
  3. Step 3: Cross multiply
    14,424x = 31,982 × 31,982
  4. Step 4: Simplify right side
    14,424x = 1,022,848,324
  5. Step 5: Solve for x
    x = 1,022,848,324/14,424
  6. Step 6: Final answer
    x = 70,912.95

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.