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Finding the Third Proportional to 33,651 and 47,185

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Solution

The third proportional to 33,651 and 47,185 is: 66,162.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,651 : 47,185 = 47,185 : x
  2. Step 2: Convert to fraction form
    33,651/47,185 = 47,185/x
  3. Step 3: Cross multiply
    33,651x = 47,185 × 47,185
  4. Step 4: Simplify right side
    33,651x = 2,226,424,225
  5. Step 5: Solve for x
    x = 2,226,424,225/33,651
  6. Step 6: Final answer
    x = 66,162.20

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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.