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Finding the Third Proportional to 5,893.31 and 12,709.41

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Solution

The third proportional to 5,893.31 and 12,709.41 is: 27,408.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,893.31 : 12,709.41 = 12,709.41 : x
  2. Step 2: Convert to fraction form
    5,893.31/12,709.41 = 12,709.41/x
  3. Step 3: Cross multiply
    5,893.31x = 12,709.41 × 12,709.41
  4. Step 4: Simplify right side
    5,893.31x = 161,529,007.23
  5. Step 5: Solve for x
    x = 161,529,007.23/5,893.31
  6. Step 6: Final answer
    x = 27,408.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.