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Finding the Third Proportional to 13,760 and 20,671

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Solution

The third proportional to 13,760 and 20,671 is: 31,053.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,760 : 20,671 = 20,671 : x
  2. Step 2: Convert to fraction form
    13,760/20,671 = 20,671/x
  3. Step 3: Cross multiply
    13,760x = 20,671 × 20,671
  4. Step 4: Simplify right side
    13,760x = 427,290,241
  5. Step 5: Solve for x
    x = 427,290,241/13,760
  6. Step 6: Final answer
    x = 31,053.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.