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Finding the Third Proportional to 14,002 and 20,823

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Solution

The third proportional to 14,002 and 20,823 is: 30,966.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,002 : 20,823 = 20,823 : x
  2. Step 2: Convert to fraction form
    14,002/20,823 = 20,823/x
  3. Step 3: Cross multiply
    14,002x = 20,823 × 20,823
  4. Step 4: Simplify right side
    14,002x = 433,597,329
  5. Step 5: Solve for x
    x = 433,597,329/14,002
  6. Step 6: Final answer
    x = 30,966.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.