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Finding the Third Proportional to 20,120 and 23,384

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Solution

The third proportional to 20,120 and 23,384 is: 27,177.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,120 : 23,384 = 23,384 : x
  2. Step 2: Convert to fraction form
    20,120/23,384 = 23,384/x
  3. Step 3: Cross multiply
    20,120x = 23,384 × 23,384
  4. Step 4: Simplify right side
    20,120x = 546,811,456
  5. Step 5: Solve for x
    x = 546,811,456/20,120
  6. Step 6: Final answer
    x = 27,177.51

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.