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Finding the Third Proportional to 26,761.50 and 54,258.75

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Solution

The third proportional to 26,761.50 and 54,258.75 is: 110,009.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,761.50 : 54,258.75 = 54,258.75 : x
  2. Step 2: Convert to fraction form
    26,761.50/54,258.75 = 54,258.75/x
  3. Step 3: Cross multiply
    26,761.50x = 54,258.75 × 54,258.75
  4. Step 4: Simplify right side
    26,761.50x = 2,944,011,951.56
  5. Step 5: Solve for x
    x = 2,944,011,951.56/26,761.50
  6. Step 6: Final answer
    x = 110,009.23

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.