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Finding the Third Proportional to 5,832 and 12,871.41

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Solution

The third proportional to 5,832 and 12,871.41 is: 28,407.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,832 : 12,871.41 = 12,871.41 : x
  2. Step 2: Convert to fraction form
    5,832/12,871.41 = 12,871.41/x
  3. Step 3: Cross multiply
    5,832x = 12,871.41 × 12,871.41
  4. Step 4: Simplify right side
    5,832x = 165,673,098.85
  5. Step 5: Solve for x
    x = 165,673,098.85/5,832
  6. Step 6: Final answer
    x = 28,407.60

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.