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Finding the Third Proportional to 47,626 and 71,204

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Solution

The third proportional to 47,626 and 71,204 is: 106,454.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,626 : 71,204 = 71,204 : x
  2. Step 2: Convert to fraction form
    47,626/71,204 = 71,204/x
  3. Step 3: Cross multiply
    47,626x = 71,204 × 71,204
  4. Step 4: Simplify right side
    47,626x = 5,070,009,616
  5. Step 5: Solve for x
    x = 5,070,009,616/47,626
  6. Step 6: Final answer
    x = 106,454.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.