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Finding the Third Proportional to 8,022 and 11,273

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Solution

The third proportional to 8,022 and 11,273 is: 15,841.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,022 : 11,273 = 11,273 : x
  2. Step 2: Convert to fraction form
    8,022/11,273 = 11,273/x
  3. Step 3: Cross multiply
    8,022x = 11,273 × 11,273
  4. Step 4: Simplify right side
    8,022x = 127,080,529
  5. Step 5: Solve for x
    x = 127,080,529/8,022
  6. Step 6: Final answer
    x = 15,841.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.