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Finding the Third Proportional to 8,406 and 18,096

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Solution

The third proportional to 8,406 and 18,096 is: 38,956.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406 : 18,096 = 18,096 : x
  2. Step 2: Convert to fraction form
    8,406/18,096 = 18,096/x
  3. Step 3: Cross multiply
    8,406x = 18,096 × 18,096
  4. Step 4: Simplify right side
    8,406x = 327,465,216
  5. Step 5: Solve for x
    x = 327,465,216/8,406
  6. Step 6: Final answer
    x = 38,956.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.