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Finding the Third Proportional to 3,800 and 5,356

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Solution

The third proportional to 3,800 and 5,356 is: 7,549.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800 : 5,356 = 5,356 : x
  2. Step 2: Convert to fraction form
    3,800/5,356 = 5,356/x
  3. Step 3: Cross multiply
    3,800x = 5,356 × 5,356
  4. Step 4: Simplify right side
    3,800x = 28,686,736
  5. Step 5: Solve for x
    x = 28,686,736/3,800
  6. Step 6: Final answer
    x = 7,549.14

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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.