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Finding the Third Proportional to 2,022 and 4,288

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Solution

The third proportional to 2,022 and 4,288 is: 9,093.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022 : 4,288 = 4,288 : x
  2. Step 2: Convert to fraction form
    2,022/4,288 = 4,288/x
  3. Step 3: Cross multiply
    2,022x = 4,288 × 4,288
  4. Step 4: Simplify right side
    2,022x = 18,386,944
  5. Step 5: Solve for x
    x = 18,386,944/2,022
  6. Step 6: Final answer
    x = 9,093.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.