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Finding the Third Proportional to 26,540 and 57,944

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Solution

The third proportional to 26,540 and 57,944 is: 126,507.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,540 : 57,944 = 57,944 : x
  2. Step 2: Convert to fraction form
    26,540/57,944 = 57,944/x
  3. Step 3: Cross multiply
    26,540x = 57,944 × 57,944
  4. Step 4: Simplify right side
    26,540x = 3,357,507,136
  5. Step 5: Solve for x
    x = 3,357,507,136/26,540
  6. Step 6: Final answer
    x = 126,507.43

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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.