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Finding the Third Proportional to 26,007 and 39,983

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Solution

The third proportional to 26,007 and 39,983 is: 61,469.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,007 : 39,983 = 39,983 : x
  2. Step 2: Convert to fraction form
    26,007/39,983 = 39,983/x
  3. Step 3: Cross multiply
    26,007x = 39,983 × 39,983
  4. Step 4: Simplify right side
    26,007x = 1,598,640,289
  5. Step 5: Solve for x
    x = 1,598,640,289/26,007
  6. Step 6: Final answer
    x = 61,469.62

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.