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Finding the Third Proportional to 14,233 and 20,503

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Solution

The third proportional to 14,233 and 20,503 is: 29,535.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,233 : 20,503 = 20,503 : x
  2. Step 2: Convert to fraction form
    14,233/20,503 = 20,503/x
  3. Step 3: Cross multiply
    14,233x = 20,503 × 20,503
  4. Step 4: Simplify right side
    14,233x = 420,373,009
  5. Step 5: Solve for x
    x = 420,373,009/14,233
  6. Step 6: Final answer
    x = 29,535.10

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.