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Finding the Third Proportional to 14,264 and 20,652

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Solution

The third proportional to 14,264 and 20,652 is: 29,900.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,264 : 20,652 = 20,652 : x
  2. Step 2: Convert to fraction form
    14,264/20,652 = 20,652/x
  3. Step 3: Cross multiply
    14,264x = 20,652 × 20,652
  4. Step 4: Simplify right side
    14,264x = 426,505,104
  5. Step 5: Solve for x
    x = 426,505,104/14,264
  6. Step 6: Final answer
    x = 29,900.81

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.