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Finding the Third Proportional to 13,923 and 21,326

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Solution

The third proportional to 13,923 and 21,326 is: 32,665.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,923 : 21,326 = 21,326 : x
  2. Step 2: Convert to fraction form
    13,923/21,326 = 21,326/x
  3. Step 3: Cross multiply
    13,923x = 21,326 × 21,326
  4. Step 4: Simplify right side
    13,923x = 454,798,276
  5. Step 5: Solve for x
    x = 454,798,276/13,923
  6. Step 6: Final answer
    x = 32,665.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.