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Finding the Third Proportional to 5,338 and 11,022

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Solution

The third proportional to 5,338 and 11,022 is: 22,758.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,338 : 11,022 = 11,022 : x
  2. Step 2: Convert to fraction form
    5,338/11,022 = 11,022/x
  3. Step 3: Cross multiply
    5,338x = 11,022 × 11,022
  4. Step 4: Simplify right side
    5,338x = 121,484,484
  5. Step 5: Solve for x
    x = 121,484,484/5,338
  6. Step 6: Final answer
    x = 22,758.43

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.