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Finding the Third Proportional to 26,540 and 57,772

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Solution

The third proportional to 26,540 and 57,772 is: 125,757.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,540 : 57,772 = 57,772 : x
  2. Step 2: Convert to fraction form
    26,540/57,772 = 57,772/x
  3. Step 3: Cross multiply
    26,540x = 57,772 × 57,772
  4. Step 4: Simplify right side
    26,540x = 3,337,603,984
  5. Step 5: Solve for x
    x = 3,337,603,984/26,540
  6. Step 6: Final answer
    x = 125,757.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.