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Finding the Third Proportional to 18,961 and 27,955

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Solution

The third proportional to 18,961 and 27,955 is: 41,215.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,961 : 27,955 = 27,955 : x
  2. Step 2: Convert to fraction form
    18,961/27,955 = 27,955/x
  3. Step 3: Cross multiply
    18,961x = 27,955 × 27,955
  4. Step 4: Simplify right side
    18,961x = 781,482,025
  5. Step 5: Solve for x
    x = 781,482,025/18,961
  6. Step 6: Final answer
    x = 41,215.23

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.