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Finding the Third Proportional to 47,009 and 68,749

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Solution

The third proportional to 47,009 and 68,749 is: 100,542.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,009 : 68,749 = 68,749 : x
  2. Step 2: Convert to fraction form
    47,009/68,749 = 68,749/x
  3. Step 3: Cross multiply
    47,009x = 68,749 × 68,749
  4. Step 4: Simplify right side
    47,009x = 4,726,425,001
  5. Step 5: Solve for x
    x = 4,726,425,001/47,009
  6. Step 6: Final answer
    x = 100,542.98

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.