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Finding the Third Proportional to 26,568 and 55,890

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Solution

The third proportional to 26,568 and 55,890 is: 117,573.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,568 : 55,890 = 55,890 : x
  2. Step 2: Convert to fraction form
    26,568/55,890 = 55,890/x
  3. Step 3: Cross multiply
    26,568x = 55,890 × 55,890
  4. Step 4: Simplify right side
    26,568x = 3,123,692,100
  5. Step 5: Solve for x
    x = 3,123,692,100/26,568
  6. Step 6: Final answer
    x = 117,573.48

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.