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Finding the Third Proportional to 20,571 and 28,380

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Solution

The third proportional to 20,571 and 28,380 is: 39,153.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,571 : 28,380 = 28,380 : x
  2. Step 2: Convert to fraction form
    20,571/28,380 = 28,380/x
  3. Step 3: Cross multiply
    20,571x = 28,380 × 28,380
  4. Step 4: Simplify right side
    20,571x = 805,424,400
  5. Step 5: Solve for x
    x = 805,424,400/20,571
  6. Step 6: Final answer
    x = 39,153.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.