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Finding the Third Proportional to 47,843 and 66,929

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Solution

The third proportional to 47,843 and 66,929 is: 93,628.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,843 : 66,929 = 66,929 : x
  2. Step 2: Convert to fraction form
    47,843/66,929 = 66,929/x
  3. Step 3: Cross multiply
    47,843x = 66,929 × 66,929
  4. Step 4: Simplify right side
    47,843x = 4,479,491,041
  5. Step 5: Solve for x
    x = 4,479,491,041/47,843
  6. Step 6: Final answer
    x = 93,628.97

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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.