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Finding the Third Proportional to 1,422 and 2,669

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Solution

The third proportional to 1,422 and 2,669 is: 5,009.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422 : 2,669 = 2,669 : x
  2. Step 2: Convert to fraction form
    1,422/2,669 = 2,669/x
  3. Step 3: Cross multiply
    1,422x = 2,669 × 2,669
  4. Step 4: Simplify right side
    1,422x = 7,123,561
  5. Step 5: Solve for x
    x = 7,123,561/1,422
  6. Step 6: Final answer
    x = 5,009.54

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.