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Finding the Third Proportional to 26,759 and 57,658

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Solution

The third proportional to 26,759 and 57,658 is: 124,236.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,759 : 57,658 = 57,658 : x
  2. Step 2: Convert to fraction form
    26,759/57,658 = 57,658/x
  3. Step 3: Cross multiply
    26,759x = 57,658 × 57,658
  4. Step 4: Simplify right side
    26,759x = 3,324,444,964
  5. Step 5: Solve for x
    x = 3,324,444,964/26,759
  6. Step 6: Final answer
    x = 124,236.52

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.