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Finding the Third Proportional to 1,783 and 2,669

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Solution

The third proportional to 1,783 and 2,669 is: 3,995.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783 : 2,669 = 2,669 : x
  2. Step 2: Convert to fraction form
    1,783/2,669 = 2,669/x
  3. Step 3: Cross multiply
    1,783x = 2,669 × 2,669
  4. Step 4: Simplify right side
    1,783x = 7,123,561
  5. Step 5: Solve for x
    x = 7,123,561/1,783
  6. Step 6: Final answer
    x = 3,995.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.