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Finding the Third Proportional to 14,183 and 30,472

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Solution

The third proportional to 14,183 and 30,472 is: 65,468.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,183 : 30,472 = 30,472 : x
  2. Step 2: Convert to fraction form
    14,183/30,472 = 30,472/x
  3. Step 3: Cross multiply
    14,183x = 30,472 × 30,472
  4. Step 4: Simplify right side
    14,183x = 928,542,784
  5. Step 5: Solve for x
    x = 928,542,784/14,183
  6. Step 6: Final answer
    x = 65,468.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.