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Finding the Third Proportional to 3,780 and 5,022

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Solution

The third proportional to 3,780 and 5,022 is: 6,672.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780 : 5,022 = 5,022 : x
  2. Step 2: Convert to fraction form
    3,780/5,022 = 5,022/x
  3. Step 3: Cross multiply
    3,780x = 5,022 × 5,022
  4. Step 4: Simplify right side
    3,780x = 25,220,484
  5. Step 5: Solve for x
    x = 25,220,484/3,780
  6. Step 6: Final answer
    x = 6,672.09

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.