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Finding the Third Proportional to 20,384 and 26,096

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Solution

The third proportional to 20,384 and 26,096 is: 33,408.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,384 : 26,096 = 26,096 : x
  2. Step 2: Convert to fraction form
    20,384/26,096 = 26,096/x
  3. Step 3: Cross multiply
    20,384x = 26,096 × 26,096
  4. Step 4: Simplify right side
    20,384x = 681,001,216
  5. Step 5: Solve for x
    x = 681,001,216/20,384
  6. Step 6: Final answer
    x = 33,408.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.