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Finding the Third Proportional to 13,671 and 32,913

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Solution

The third proportional to 13,671 and 32,913 is: 79,238.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,671 : 32,913 = 32,913 : x
  2. Step 2: Convert to fraction form
    13,671/32,913 = 32,913/x
  3. Step 3: Cross multiply
    13,671x = 32,913 × 32,913
  4. Step 4: Simplify right side
    13,671x = 1,083,265,569
  5. Step 5: Solve for x
    x = 1,083,265,569/13,671
  6. Step 6: Final answer
    x = 79,238.21

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.