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Finding the Third Proportional to 47,684 and 103,400

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Solution

The third proportional to 47,684 and 103,400 is: 224,216.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,684 : 103,400 = 103,400 : x
  2. Step 2: Convert to fraction form
    47,684/103,400 = 103,400/x
  3. Step 3: Cross multiply
    47,684x = 103,400 × 103,400
  4. Step 4: Simplify right side
    47,684x = 10,691,560,000
  5. Step 5: Solve for x
    x = 10,691,560,000/47,684
  6. Step 6: Final answer
    x = 224,216.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.