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Finding the Third Proportional to 13,734 and 20,864

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Solution

The third proportional to 13,734 and 20,864 is: 31,695.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,734 : 20,864 = 20,864 : x
  2. Step 2: Convert to fraction form
    13,734/20,864 = 20,864/x
  3. Step 3: Cross multiply
    13,734x = 20,864 × 20,864
  4. Step 4: Simplify right side
    13,734x = 435,306,496
  5. Step 5: Solve for x
    x = 435,306,496/13,734
  6. Step 6: Final answer
    x = 31,695.54

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.