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Finding the Third Proportional to 47,666 and 71,247

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Solution

The third proportional to 47,666 and 71,247 is: 106,493.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,666 : 71,247 = 71,247 : x
  2. Step 2: Convert to fraction form
    47,666/71,247 = 71,247/x
  3. Step 3: Cross multiply
    47,666x = 71,247 × 71,247
  4. Step 4: Simplify right side
    47,666x = 5,076,135,009
  5. Step 5: Solve for x
    x = 5,076,135,009/47,666
  6. Step 6: Final answer
    x = 106,493.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.