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Finding the Third Proportional to 7,738 and 16,022

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Solution

The third proportional to 7,738 and 16,022 is: 33,174.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,738 : 16,022 = 16,022 : x
  2. Step 2: Convert to fraction form
    7,738/16,022 = 16,022/x
  3. Step 3: Cross multiply
    7,738x = 16,022 × 16,022
  4. Step 4: Simplify right side
    7,738x = 256,704,484
  5. Step 5: Solve for x
    x = 256,704,484/7,738
  6. Step 6: Final answer
    x = 33,174.53

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.