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Finding the Third Proportional to 8,224 and 18,026

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Solution

The third proportional to 8,224 and 18,026 is: 39,510.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224 : 18,026 = 18,026 : x
  2. Step 2: Convert to fraction form
    8,224/18,026 = 18,026/x
  3. Step 3: Cross multiply
    8,224x = 18,026 × 18,026
  4. Step 4: Simplify right side
    8,224x = 324,936,676
  5. Step 5: Solve for x
    x = 324,936,676/8,224
  6. Step 6: Final answer
    x = 39,510.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.