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Finding the Third Proportional to 20,448 and 47,400

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Solution

The third proportional to 20,448 and 47,400 is: 109,876.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,448 : 47,400 = 47,400 : x
  2. Step 2: Convert to fraction form
    20,448/47,400 = 47,400/x
  3. Step 3: Cross multiply
    20,448x = 47,400 × 47,400
  4. Step 4: Simplify right side
    20,448x = 2,246,760,000
  5. Step 5: Solve for x
    x = 2,246,760,000/20,448
  6. Step 6: Final answer
    x = 109,876.76

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.