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Finding the Third Proportional to 26,930 and 41,125

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Solution

The third proportional to 26,930 and 41,125 is: 62,802.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,930 : 41,125 = 41,125 : x
  2. Step 2: Convert to fraction form
    26,930/41,125 = 41,125/x
  3. Step 3: Cross multiply
    26,930x = 41,125 × 41,125
  4. Step 4: Simplify right side
    26,930x = 1,691,265,625
  5. Step 5: Solve for x
    x = 1,691,265,625/26,930
  6. Step 6: Final answer
    x = 62,802.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.