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Finding the Third Proportional to 26,503 and 57,739

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Solution

The third proportional to 26,503 and 57,739 is: 125,789.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,503 : 57,739 = 57,739 : x
  2. Step 2: Convert to fraction form
    26,503/57,739 = 57,739/x
  3. Step 3: Cross multiply
    26,503x = 57,739 × 57,739
  4. Step 4: Simplify right side
    26,503x = 3,333,792,121
  5. Step 5: Solve for x
    x = 3,333,792,121/26,503
  6. Step 6: Final answer
    x = 125,789.24

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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.