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Finding the Third Proportional to 26,806 and 58,898

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Solution

The third proportional to 26,806 and 58,898 is: 129,410.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,806 : 58,898 = 58,898 : x
  2. Step 2: Convert to fraction form
    26,806/58,898 = 58,898/x
  3. Step 3: Cross multiply
    26,806x = 58,898 × 58,898
  4. Step 4: Simplify right side
    26,806x = 3,468,974,404
  5. Step 5: Solve for x
    x = 3,468,974,404/26,806
  6. Step 6: Final answer
    x = 129,410.37

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.