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Finding the Third Proportional to 1,780 and 3,819

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Solution

The third proportional to 1,780 and 3,819 is: 8,193.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780 : 3,819 = 3,819 : x
  2. Step 2: Convert to fraction form
    1,780/3,819 = 3,819/x
  3. Step 3: Cross multiply
    1,780x = 3,819 × 3,819
  4. Step 4: Simplify right side
    1,780x = 14,584,761
  5. Step 5: Solve for x
    x = 14,584,761/1,780
  6. Step 6: Final answer
    x = 8,193.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.