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Finding the Third Proportional to 18,116 and 26,982

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Solution

The third proportional to 18,116 and 26,982 is: 40,187.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,116 : 26,982 = 26,982 : x
  2. Step 2: Convert to fraction form
    18,116/26,982 = 26,982/x
  3. Step 3: Cross multiply
    18,116x = 26,982 × 26,982
  4. Step 4: Simplify right side
    18,116x = 728,028,324
  5. Step 5: Solve for x
    x = 728,028,324/18,116
  6. Step 6: Final answer
    x = 40,187.03

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.