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Finding the Third Proportional to 26,982 and 40,849

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Solution

The third proportional to 26,982 and 40,849 is: 61,842.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,982 : 40,849 = 40,849 : x
  2. Step 2: Convert to fraction form
    26,982/40,849 = 40,849/x
  3. Step 3: Cross multiply
    26,982x = 40,849 × 40,849
  4. Step 4: Simplify right side
    26,982x = 1,668,640,801
  5. Step 5: Solve for x
    x = 1,668,640,801/26,982
  6. Step 6: Final answer
    x = 61,842.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.