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Finding the Third Proportional to 13,323 and 20,439

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Solution

The third proportional to 13,323 and 20,439 is: 31,355.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,323 : 20,439 = 20,439 : x
  2. Step 2: Convert to fraction form
    13,323/20,439 = 20,439/x
  3. Step 3: Cross multiply
    13,323x = 20,439 × 20,439
  4. Step 4: Simplify right side
    13,323x = 417,752,721
  5. Step 5: Solve for x
    x = 417,752,721/13,323
  6. Step 6: Final answer
    x = 31,355.75

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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.