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Finding the Third Proportional to 3,802 and 4,378

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Solution

The third proportional to 3,802 and 4,378 is: 5,041.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802 : 4,378 = 4,378 : x
  2. Step 2: Convert to fraction form
    3,802/4,378 = 4,378/x
  3. Step 3: Cross multiply
    3,802x = 4,378 × 4,378
  4. Step 4: Simplify right side
    3,802x = 19,166,884
  5. Step 5: Solve for x
    x = 19,166,884/3,802
  6. Step 6: Final answer
    x = 5,041.26

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.