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Finding the Third Proportional to 14,478 and 21,993

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Solution

The third proportional to 14,478 and 21,993 is: 33,408.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,478 : 21,993 = 21,993 : x
  2. Step 2: Convert to fraction form
    14,478/21,993 = 21,993/x
  3. Step 3: Cross multiply
    14,478x = 21,993 × 21,993
  4. Step 4: Simplify right side
    14,478x = 483,692,049
  5. Step 5: Solve for x
    x = 483,692,049/14,478
  6. Step 6: Final answer
    x = 33,408.76

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.