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Finding the Third Proportional to 47,849 and 68,493

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Solution

The third proportional to 47,849 and 68,493 is: 98,043.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,849 : 68,493 = 68,493 : x
  2. Step 2: Convert to fraction form
    47,849/68,493 = 68,493/x
  3. Step 3: Cross multiply
    47,849x = 68,493 × 68,493
  4. Step 4: Simplify right side
    47,849x = 4,691,291,049
  5. Step 5: Solve for x
    x = 4,691,291,049/47,849
  6. Step 6: Final answer
    x = 98,043.66

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.