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Finding the Third Proportional to 26,906 and 62,525

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Solution

The third proportional to 26,906 and 62,525 is: 145,297.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,906 : 62,525 = 62,525 : x
  2. Step 2: Convert to fraction form
    26,906/62,525 = 62,525/x
  3. Step 3: Cross multiply
    26,906x = 62,525 × 62,525
  4. Step 4: Simplify right side
    26,906x = 3,909,375,625
  5. Step 5: Solve for x
    x = 3,909,375,625/26,906
  6. Step 6: Final answer
    x = 145,297.54

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.