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Finding the Third Proportional to 47,067 and 65,833

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Solution

The third proportional to 47,067 and 65,833 is: 92,081.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,067 : 65,833 = 65,833 : x
  2. Step 2: Convert to fraction form
    47,067/65,833 = 65,833/x
  3. Step 3: Cross multiply
    47,067x = 65,833 × 65,833
  4. Step 4: Simplify right side
    47,067x = 4,333,983,889
  5. Step 5: Solve for x
    x = 4,333,983,889/47,067
  6. Step 6: Final answer
    x = 92,081.16

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.