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Finding the Third Proportional to 26,730 and 57,408.75

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Solution

The third proportional to 26,730 and 57,408.75 is: 123,298.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,730 : 57,408.75 = 57,408.75 : x
  2. Step 2: Convert to fraction form
    26,730/57,408.75 = 57,408.75/x
  3. Step 3: Cross multiply
    26,730x = 57,408.75 × 57,408.75
  4. Step 4: Simplify right side
    26,730x = 3,295,764,576.56
  5. Step 5: Solve for x
    x = 3,295,764,576.56/26,730
  6. Step 6: Final answer
    x = 123,298.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.