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Finding the Third Proportional to 26,738 and 57,940

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Solution

The third proportional to 26,738 and 57,940 is: 125,553.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,738 : 57,940 = 57,940 : x
  2. Step 2: Convert to fraction form
    26,738/57,940 = 57,940/x
  3. Step 3: Cross multiply
    26,738x = 57,940 × 57,940
  4. Step 4: Simplify right side
    26,738x = 3,357,043,600
  5. Step 5: Solve for x
    x = 3,357,043,600/26,738
  6. Step 6: Final answer
    x = 125,553.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.