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Finding the Third Proportional to 26,982 and 42,234.38

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Solution

The third proportional to 26,982 and 42,234.38 is: 66,108.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,982 : 42,234.38 = 42,234.38 : x
  2. Step 2: Convert to fraction form
    26,982/42,234.38 = 42,234.38/x
  3. Step 3: Cross multiply
    26,982x = 42,234.38 × 42,234.38
  4. Step 4: Simplify right side
    26,982x = 1,783,742,431.64
  5. Step 5: Solve for x
    x = 1,783,742,431.64/26,982
  6. Step 6: Final answer
    x = 66,108.61

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.