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Finding the Third Proportional to 26,608 and 58,400

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Solution

The third proportional to 26,608 and 58,400 is: 128,177.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,608 : 58,400 = 58,400 : x
  2. Step 2: Convert to fraction form
    26,608/58,400 = 58,400/x
  3. Step 3: Cross multiply
    26,608x = 58,400 × 58,400
  4. Step 4: Simplify right side
    26,608x = 3,410,560,000
  5. Step 5: Solve for x
    x = 3,410,560,000/26,608
  6. Step 6: Final answer
    x = 128,177.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.