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Finding the Third Proportional to 14,180 and 20,296

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Solution

The third proportional to 14,180 and 20,296 is: 29,049.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,180 : 20,296 = 20,296 : x
  2. Step 2: Convert to fraction form
    14,180/20,296 = 20,296/x
  3. Step 3: Cross multiply
    14,180x = 20,296 × 20,296
  4. Step 4: Simplify right side
    14,180x = 411,927,616
  5. Step 5: Solve for x
    x = 411,927,616/14,180
  6. Step 6: Final answer
    x = 29,049.90

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.