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Finding the Third Proportional to 26,797 and 40,469

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Solution

The third proportional to 26,797 and 40,469 is: 61,116.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,797 : 40,469 = 40,469 : x
  2. Step 2: Convert to fraction form
    26,797/40,469 = 40,469/x
  3. Step 3: Cross multiply
    26,797x = 40,469 × 40,469
  4. Step 4: Simplify right side
    26,797x = 1,637,739,961
  5. Step 5: Solve for x
    x = 1,637,739,961/26,797
  6. Step 6: Final answer
    x = 61,116.54

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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.