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Finding the Third Proportional to 13,671 and 25,920

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Solution

The third proportional to 13,671 and 25,920 is: 49,143.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,671 : 25,920 = 25,920 : x
  2. Step 2: Convert to fraction form
    13,671/25,920 = 25,920/x
  3. Step 3: Cross multiply
    13,671x = 25,920 × 25,920
  4. Step 4: Simplify right side
    13,671x = 671,846,400
  5. Step 5: Solve for x
    x = 671,846,400/13,671
  6. Step 6: Final answer
    x = 49,143.91

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.